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Accelerated motion Question Bank
\[1 \star \]
A race car starts and reaches a speed of
\[25 \;\;m/s\] in a time of
\[4\;\;s\]. The acceleration of the car is equal to
\[𝑎=12.1 \;\;m/s^2\;\;\;\;\;\;-C\]
\[𝑎=8.2 \;\;m/s^2\;\;\;\;\;\;-A\]
\[𝑎=6.25 \;\;m/s^2\;\;\;\;\;\;-D\]
\[𝑎=4.5\;\;m/s^2\;\;\;\;\;\;-B\]
Click here to show solution
Choose the correct answer
\[2 \star \]
The following graph shows the relationship between velocity and time.
The slope of the graph represents
Acceleration -C
Average velocity -A
Instantaneous velocity -D
Distance traveled -B
Click here to show the solution
Choose the correct answer
\[3 \star \]
A car is moving at a speed of
\[20\; m/S \] The driver saw a child crossing the road, so he applied the brakes and the car stopped
after a time of
\[5\;s \] The average acceleration equals
\[𝑎=-6 \;\;m/s^2\;\;\;\;\;\;-C\]
\[𝑎=-5 \;\;m/s^2\;\;\;\;\;\;-A\]
\[𝑎=-10 \;\;m/s^2\;\;\;\;\;\;-D\]
\[𝑎=-4\;\;m/s^2\;\;\;\;\;\;-B\]
Click here to show the solution
Choose the correct answer
\[4 \star \star \]
The relationship between velocity and time for four students was plotted.
The correct order of the magnitude of acceleration from lowest to highest is
regardless of the type of acceleration
\[ 𝑎_4 > 𝑎_2 > 𝑎_1 > 𝑎_3\;\;\;\;\;\;-C\]
\[ 𝑎_2 > 𝑎_1 > 𝑎_3 > 𝑎_4 \;\;\;\;\;\;-A\]
\[ 𝑎_1 = 𝑎_2 = 𝑎_3 = 𝑎_4 \;\;\;\;\;\;-D\]
\[𝑎_3 > 𝑎_1 > 𝑎_2 > 𝑎_4\;\;\;\;\;\;-B\]
Click here to show the solution
Choose the correct answer
\[5 \star \]
The graph shows the relationship between speed and time for a bicycle. One of the stages of the graph shows the bicycle moving with zero acceleration.
Stage 3 -C
Stage 1 -A
Stage 4 -D
Stage 2 -B
Click here to show the solution
Choose the correct answer
\[6 \star \star \]
The graph shows the relationship between velocity and time for a car with a constant mass.
From the graph, we can say
The car is always moving with - C
decreasing acceleration
The car is moving with - A
constant acceleration
The car is moving in one direction - D
The car is always moving with - B
decreasing acceleration
Click here to show the solution
Choose the correct answer
\[7 \star \]
A bicycle moves on a straight line. The graphs show the relationship between position and time. Which graph shows motion with negative acceleration?
Click here to show the solution
Choose the correct answer
\[8 \star \star \]
The following graph shows the relationship between velocity and time for a car moving in one direction
with non-constant acceleration. The average acceleration of the car
between the moments
(t=4s , t=8s )
equals
\[𝑎_{𝑎𝑣g}=2\;\;m/s^2\;\;\;\;\;\;-C\]
\[𝑎_{𝑎𝑣g}=4\;\;m/s^2\;\;\;\;\;\;-A\]
\[𝑎_{𝑎𝑣g}=5\;\;m/s^2\;\;\;\;\;\;-D\]
\[𝑎_{𝑎𝑣g}=3\;\;m/s^2\;\;\;\;\;\;-B\]
Click here to show the solution
Choose the correct answer
\[9 \star \star \]
The following graph shows the relationship between velocity and time for a car moving in one direction
with non-constant acceleration. The instantaneous acceleration
at the moment
( t=8s )
equals
\[𝑎_{i}=1.5\;\;m/s^2\;\;\;\;\;\;-C\]
\[𝑎_{i}=4.5\;\;m/s^2\;\;\;\;\;\;-A\]
\[𝑎_{i}=2.5\;\;m/s^2\;\;\;\;\;\;-D\]
\[𝑎_{i}=3.5\;\;m/s^2\;\;\;\;\;\;-B\]
Click here to show the solution
Choose the correct answer
\[10 \star \]
A car started from rest with an acceleration of
\[4\;m/s^2\] The velocity it reaches after a time of
\[6\;s\]
\[𝑣𝑓 = 10 \;\;m/s\;\;\;\;\;\;-C\]
\[𝑣𝑓 = 18 \;\;m/s\;\;\;\;\;\;-A\]
\[𝑣𝑓 = 12 \;\;m/s\;\;\;\;\;\;-D\]
\[𝑣𝑓 = 24 \;\;m/s\;\;\;\;\;\;-B\]
Click here to show the solution
Choose the correct answer
\[11 \star \]
An American football player moves at a speed of
\[10\;M/S\] He was caught from
behind until he stopped in a time of
\[8\;S\]>The distance he traveled
until stopping
\[∆𝑥 =20 \;\;m\;\;\;\;\;\;-C\]
\[∆𝑥 =10 \;\;m\;\;\;\;\;\;-A\]
\[∆𝑥 =30 \;\;m\;\;\;\;\;\;-D\]
\[∆𝑥 =40 \;\;m\;\;\;\;\;\;-B\]
Click here to show the solution
Choose the correct answer
\[12 \star \]
A bicycle moves with uniformly decreasing speed in the negative direction. One of the following answers describes its motion
Positive decelerating acceleration - C
Negative decelerating acceleration - A
Positive accelerating acceleration - D
Zero acceleration - B
Click here to show the solution
Choose the correct answer
\[13 \star \star \]
When a ball is dropped freely from a certain height
then the speed of the ball after
\[3\;s\] equals
\[g=9.81 \frac{m}{s^2}\]
\[𝑣𝑓 = -16.6 \;\;m/s\;\;\;\;\;\;-C\]
\[𝑣𝑓 = -29.4 \;\;m/s\;\;\;\;\;\;-A\]
\[𝑣𝑓 = -22.8 \;\;m/s\;\;\;\;\;\;-D\]
\[𝑣𝑓 = -3.3 \;\;m/s\;\;\;\;\;\;-B\]
Click here to show the solution
Choose the correct answer
\[14 \star \star \]
The graph below shows the relationship between velocity and time for a car.
Based on the graph information, the distance traveled equals:
\[∆𝑥_{𝑛𝑒𝑡}=300 \;\;m\;\;\;\;\;\;-C\]
\[∆𝑥_{𝑛𝑒𝑡}=200 \;\;m\;\;\;\;\;\;-A\]
\[∆𝑥_{𝑛𝑒𝑡}=250 \;\;m\;\;\;\;\;\;-D\]
\[∆𝑥_{𝑛𝑒𝑡}=350 \;\;m\;\;\;\;\;\;-B\]
Click here to show solution
Choose the correct answer
\[15 \star \star \]
A car is moving at a speed of
\[2\;m/s\] The driver changed its speed at a rate of
(0.5 m/s2 )
The distance traveled in a time of
\[1\;min\] equals
\[∆𝑥_{𝑛𝑒𝑡}=1240 \;\;m\;\;\;\;\;\;-C\]
\[∆𝑥_{𝑛𝑒𝑡}=1430 \;\;m\;\;\;\;\;\;-A\]
\[∆𝑥_{𝑛𝑒𝑡}=1020 \;\;m\;\;\;\;\;\;-D\]
\[∆𝑥_{𝑛𝑒𝑡}=900 \;\;m\;\;\;\;\;\;-B\]
Click here to show solution
Choose the correct answer
\[16 \star \star \star \]
The graph shows the relationship between velocity and time for a bicycle moving in one dimension
The best graph showing the relationship between
acceleration and time for this motion
Click here to show solution
Choose the correct answer
\[17 \star \]
When an object falls freely and air resistance is neglected, which of the following physical quantities changes
Force acting on the object -C
Acceleration of the object -A
Mass of the object -D
Velocity of the object -B
Click here to show solution
Choose the correct answer
\[18 \star \star \]
A ball was dropped freely from a certain height
then the velocity of the ball after
\[3\;s\] equals
\[g=9.81 \frac{m}{s^2}\]
\[𝑣𝑓 = -16.6 \;\;m/s\;\;\;\;\;\;-C\]
\[𝑣𝑓 = -29.4 \;\;m/s\;\;\;\;\;\;-A\]
\[𝑣𝑓 = -22.8 \;\;m/s\;\;\;\;\;\;-D\]
\[𝑣𝑓 = -3.3 \;\;m/s\;\;\;\;\;\;-B\]
Click here to show solution
Choose the correct answer
\[19 \star \].
When an object falls freely in Earth's gravitational field
the displacement traveled is proportional
Inversely with time -C
Directly with time -A
Inversely with the square of time -D
Directly with the square of time -B
Click here to show solution
Choose the correct answer
\[20 \star \]
A ball and a feather were dropped from the same height to fall freely
without initial velocity
and neglecting air resistance
then one of the following answers is correct
We cannot determine -C
The ball arrives first -A
The feather and ball arrive together -D
The feather arrives first -B
Click here to show solution
Choose the correct answer
\[27 \star \]
Pictures were taken of a car at equal time intervals
One of the following shapes represents acceleration
in the negative direction and velocity in the negative direction
Click here to show solution
Choose the correct answer
\[28 \star \star \]
A racing car was observed at position
\[40\;m\] from the starting point with a speed of
\[20\; m/s\] It was noticed that the car was moving with an acceleration of \[a=3 \frac{m}{s^2}\] Then the speed of the car at position \[X_f=120 m \] equals
\[ v_f=32.7 \;m/s \;\;\;\;\;\; -C\]
\[v_f=18.4 \;m/s\;\;\;\;\;\; -A\]
\[v_f=29.6 \;m/s \;\;\;\;\;\; -D\]
\[v_f=25.3 \;\;\;\;\;\; -B\]
Click here to show solution
Choose the correct answer
Solve the following problems
\[1\star\]
A spaceship left Earth's orbit on its way to the moon. It accelerated at a rate of
\[15\;\;m/s^2\] for a time period of
\[1.5\;\;min\] and covered a distance of
\[500\;\;km\]
Calculate the speed of the spaceship at the moment of leaving orbit
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Calculate the speed of the spaceship after the specified time has elapsed
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Click here to show solution
\[2\star\]
In a Formula race, a car started the race
and after a few seconds, a malfunction occurred and the relationship
(velocity-time) was monitored, resulting in the graph below
From the graph information, calculate the average acceleration from second 10 to second 18
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Calculate the distance covered when the car was moving at constant speed
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Calculate the total distance covered by the car
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Click here to show solution
\[3\star\]
The following graph shows the relationship between
(velocity-time) for a bicycle's motion
At what time was the speed increasing
and the acceleration constant but negative
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
At what time was the speed decreasing
and the acceleration constant but negative
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Calculate from the graph the constant acceleration
from second 15 to second 40
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Click here to show solution
4
Yousef wanted to measure the depth of a well
He dropped a stone into the well
in free fall and observed
the stone hitting the bottom after two seconds
from the moment of dropping the stone, neglecting air resistance
Calculate the depth of the well
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Calculate the speed of the stone when it hits the water in the well
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Draw the relationship between velocity and time on the graph
Click here to show solution
\[5\star\]
Accelerated motion Question Bank |
\[1 \star \]
A race car starts and reaches a speed of
\[25 \;\;m/s\] in a time of
\[4\;\;s\]. The acceleration of the car is equal to
\[𝑎=12.1 \;\;m/s^2\;\;\;\;\;\;-C\]
\[𝑎=8.2 \;\;m/s^2\;\;\;\;\;\;-A\]
\[𝑎=6.25 \;\;m/s^2\;\;\;\;\;\;-D\]
\[𝑎=4.5\;\;m/s^2\;\;\;\;\;\;-B\]
Click here to show solution
Choose the correct answer
\[2 \star \]
The following graph shows the relationship between velocity and time.
The slope of the graph represents
Acceleration -C
Average velocity -A
Instantaneous velocity -D
Distance traveled -B
Click here to show the solution
Choose the correct answer
\[3 \star \]
A car is moving at a speed of
\[20\; m/S \] The driver saw a child crossing the road, so he applied the brakes and the car stopped
after a time of
\[5\;s \] The average acceleration equals
\[𝑎=-6 \;\;m/s^2\;\;\;\;\;\;-C\]
\[𝑎=-5 \;\;m/s^2\;\;\;\;\;\;-A\]
\[𝑎=-10 \;\;m/s^2\;\;\;\;\;\;-D\]
\[𝑎=-4\;\;m/s^2\;\;\;\;\;\;-B\]
Click here to show the solution
Choose the correct answer
\[4 \star \star \]
The relationship between velocity and time for four students was plotted.
The correct order of the magnitude of acceleration from lowest to highest is
regardless of the type of acceleration
\[ 𝑎_4 > 𝑎_2 > 𝑎_1 > 𝑎_3\;\;\;\;\;\;-C\]
\[ 𝑎_2 > 𝑎_1 > 𝑎_3 > 𝑎_4 \;\;\;\;\;\;-A\]
\[ 𝑎_1 = 𝑎_2 = 𝑎_3 = 𝑎_4 \;\;\;\;\;\;-D\]
\[𝑎_3 > 𝑎_1 > 𝑎_2 > 𝑎_4\;\;\;\;\;\;-B\]
Click here to show the solution
Choose the correct answer
\[5 \star \]
The graph shows the relationship between speed and time for a bicycle. One of the stages of the graph shows the bicycle moving with zero acceleration.
Stage 3 -C
Stage 1 -A
Stage 4 -D
Stage 2 -B
Click here to show the solution
Choose the correct answer
\[6 \star \star \]
The graph shows the relationship between velocity and time for a car with a constant mass.
From the graph, we can say
The car is always moving with - C
decreasing acceleration
The car is moving with - A
constant acceleration
The car is moving in one direction - D
The car is always moving with - B
decreasing acceleration
Click here to show the solution
Choose the correct answer
\[7 \star \]
A bicycle moves on a straight line. The graphs show the relationship between position and time. Which graph shows motion with negative acceleration?
Click here to show the solution
Choose the correct answer
\[8 \star \star \]
The following graph shows the relationship between velocity and time for a car moving in one direction
with non-constant acceleration. The average acceleration of the car
between the moments
(t=4s , t=8s )
equals
\[𝑎_{𝑎𝑣g}=2\;\;m/s^2\;\;\;\;\;\;-C\]
\[𝑎_{𝑎𝑣g}=4\;\;m/s^2\;\;\;\;\;\;-A\]
\[𝑎_{𝑎𝑣g}=5\;\;m/s^2\;\;\;\;\;\;-D\]
\[𝑎_{𝑎𝑣g}=3\;\;m/s^2\;\;\;\;\;\;-B\]
Click here to show the solution
Choose the correct answer
\[9 \star \star \]
The following graph shows the relationship between velocity and time for a car moving in one direction
with non-constant acceleration. The instantaneous acceleration
at the moment
( t=8s )
equals
\[𝑎_{i}=1.5\;\;m/s^2\;\;\;\;\;\;-C\]
\[𝑎_{i}=4.5\;\;m/s^2\;\;\;\;\;\;-A\]
\[𝑎_{i}=2.5\;\;m/s^2\;\;\;\;\;\;-D\]
\[𝑎_{i}=3.5\;\;m/s^2\;\;\;\;\;\;-B\]
Click here to show the solution
Choose the correct answer
\[10 \star \]
A car started from rest with an acceleration of
\[4\;m/s^2\] The velocity it reaches after a time of
\[6\;s\]
\[𝑣𝑓 = 10 \;\;m/s\;\;\;\;\;\;-C\]
\[𝑣𝑓 = 18 \;\;m/s\;\;\;\;\;\;-A\]
\[𝑣𝑓 = 12 \;\;m/s\;\;\;\;\;\;-D\]
\[𝑣𝑓 = 24 \;\;m/s\;\;\;\;\;\;-B\]
Click here to show the solution
Choose the correct answer
\[11 \star \]
An American football player moves at a speed of
\[10\;M/S\] He was caught from
behind until he stopped in a time of
\[8\;S\]>The distance he traveled
until stopping
\[∆𝑥 =20 \;\;m\;\;\;\;\;\;-C\]
\[∆𝑥 =10 \;\;m\;\;\;\;\;\;-A\]
\[∆𝑥 =30 \;\;m\;\;\;\;\;\;-D\]
\[∆𝑥 =40 \;\;m\;\;\;\;\;\;-B\]
Click here to show the solution
Choose the correct answer
\[12 \star \]
A bicycle moves with uniformly decreasing speed in the negative direction. One of the following answers describes its motion
Positive decelerating acceleration - C
Negative decelerating acceleration - A
Positive accelerating acceleration - D
Zero acceleration - B
Click here to show the solution
Choose the correct answer
\[13 \star \star \]
When a ball is dropped freely from a certain height
then the speed of the ball after
\[3\;s\] equals
\[g=9.81 \frac{m}{s^2}\]
\[𝑣𝑓 = -16.6 \;\;m/s\;\;\;\;\;\;-C\]
\[𝑣𝑓 = -29.4 \;\;m/s\;\;\;\;\;\;-A\]
\[𝑣𝑓 = -22.8 \;\;m/s\;\;\;\;\;\;-D\]
\[𝑣𝑓 = -3.3 \;\;m/s\;\;\;\;\;\;-B\]
Click here to show the solution
Choose the correct answer
\[14 \star \star \]
The graph below shows the relationship between velocity and time for a car.
Based on the graph information, the distance traveled equals:
\[∆𝑥_{𝑛𝑒𝑡}=300 \;\;m\;\;\;\;\;\;-C\]
\[∆𝑥_{𝑛𝑒𝑡}=200 \;\;m\;\;\;\;\;\;-A\]
\[∆𝑥_{𝑛𝑒𝑡}=250 \;\;m\;\;\;\;\;\;-D\]
\[∆𝑥_{𝑛𝑒𝑡}=350 \;\;m\;\;\;\;\;\;-B\]
Click here to show solution
Choose the correct answer
\[15 \star \star \]
A car is moving at a speed of
\[2\;m/s\] The driver changed its speed at a rate of
(0.5 m/s2 )
The distance traveled in a time of
\[1\;min\] equals
\[∆𝑥_{𝑛𝑒𝑡}=1240 \;\;m\;\;\;\;\;\;-C\]
\[∆𝑥_{𝑛𝑒𝑡}=1430 \;\;m\;\;\;\;\;\;-A\]
\[∆𝑥_{𝑛𝑒𝑡}=1020 \;\;m\;\;\;\;\;\;-D\]
\[∆𝑥_{𝑛𝑒𝑡}=900 \;\;m\;\;\;\;\;\;-B\]
Click here to show solution
Choose the correct answer
\[16 \star \star \star \]
The graph shows the relationship between velocity and time for a bicycle moving in one dimension
The best graph showing the relationship between
acceleration and time for this motion
Click here to show solution
Choose the correct answer
\[17 \star \]
When an object falls freely and air resistance is neglected, which of the following physical quantities changes
Force acting on the object -C
Acceleration of the object -A
Mass of the object -D
Velocity of the object -B
Click here to show solution
Choose the correct answer
\[18 \star \star \]
A ball was dropped freely from a certain height
then the velocity of the ball after
\[3\;s\] equals
\[g=9.81 \frac{m}{s^2}\]
\[𝑣𝑓 = -16.6 \;\;m/s\;\;\;\;\;\;-C\]
\[𝑣𝑓 = -29.4 \;\;m/s\;\;\;\;\;\;-A\]
\[𝑣𝑓 = -22.8 \;\;m/s\;\;\;\;\;\;-D\]
\[𝑣𝑓 = -3.3 \;\;m/s\;\;\;\;\;\;-B\]
Click here to show solution
Choose the correct answer
\[19 \star \].
When an object falls freely in Earth's gravitational field
the displacement traveled is proportional
Inversely with time -C
Directly with time -A
Inversely with the square of time -D
Directly with the square of time -B
Click here to show solution
Choose the correct answer
\[20 \star \]
A ball and a feather were dropped from the same height to fall freely
without initial velocity
and neglecting air resistance
then one of the following answers is correct
We cannot determine -C
The ball arrives first -A
The feather and ball arrive together -D
The feather arrives first -B
Click here to show solution
Choose the correct answer
\[27 \star \]
Pictures were taken of a car at equal time intervals
One of the following shapes represents acceleration
in the negative direction and velocity in the negative direction
Click here to show solution
Choose the correct answer
\[28 \star \star \]
A racing car was observed at position
\[40\;m\] from the starting point with a speed of
\[20\; m/s\] It was noticed that the car was moving with an acceleration of \[a=3 \frac{m}{s^2}\] Then the speed of the car at position \[X_f=120 m \] equals
\[ v_f=32.7 \;m/s \;\;\;\;\;\; -C\]
\[v_f=18.4 \;m/s\;\;\;\;\;\; -A\]
\[v_f=29.6 \;m/s \;\;\;\;\;\; -D\]
\[v_f=25.3 \;\;\;\;\;\; -B\]
Click here to show solution
Choose the correct answer
Solve the following problems
\[1\star\]
A spaceship left Earth's orbit on its way to the moon. It accelerated at a rate of
\[15\;\;m/s^2\] for a time period of
\[1.5\;\;min\] and covered a distance of
\[500\;\;km\]
Calculate the speed of the spaceship at the moment of leaving orbit
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Calculate the speed of the spaceship after the specified time has elapsed
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Click here to show solution
\[2\star\]
In a Formula race, a car started the race
and after a few seconds, a malfunction occurred and the relationship
(velocity-time) was monitored, resulting in the graph below
From the graph information, calculate the average acceleration from second 10 to second 18
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Calculate the distance covered when the car was moving at constant speed
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Calculate the total distance covered by the car
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Click here to show solution
\[3\star\]
The following graph shows the relationship between
(velocity-time) for a bicycle's motion
At what time was the speed increasing
and the acceleration constant but negative
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
At what time was the speed decreasing
and the acceleration constant but negative
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Calculate from the graph the constant acceleration
from second 15 to second 40
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Click here to show solution
4
Yousef wanted to measure the depth of a well
He dropped a stone into the well
in free fall and observed
the stone hitting the bottom after two seconds
from the moment of dropping the stone, neglecting air resistance
Calculate the depth of the well
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Calculate the speed of the stone when it hits the water in the well
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Draw the relationship between velocity and time on the graph
Click here to show solution
\[5\star\]
A race car starts and reaches a speed of \[25 \;\;m/s\] in a time of \[4\;\;s\]. The acceleration of the car is equal to
\[𝑎=12.1 \;\;m/s^2\;\;\;\;\;\;-C\] |
\[𝑎=8.2 \;\;m/s^2\;\;\;\;\;\;-A\] |
\[𝑎=6.25 \;\;m/s^2\;\;\;\;\;\;-D\] |
\[𝑎=4.5\;\;m/s^2\;\;\;\;\;\;-B\] |
Click here to show solution
Choose the correct answer
The following graph shows the relationship between velocity and time.
The slope of the graph represents
Acceleration -C |
Average velocity -A |
Instantaneous velocity -D |
Distance traveled -B |
Click here to show the solution
Choose the correct answer
A car is moving at a speed of \[20\; m/S \] The driver saw a child crossing the road, so he applied the brakes and the car stopped after a time of \[5\;s \] The average acceleration equals
\[𝑎=-6 \;\;m/s^2\;\;\;\;\;\;-C\] |
\[𝑎=-5 \;\;m/s^2\;\;\;\;\;\;-A\] |
\[𝑎=-10 \;\;m/s^2\;\;\;\;\;\;-D\] |
\[𝑎=-4\;\;m/s^2\;\;\;\;\;\;-B\] |
Click here to show the solution
Choose the correct answer
The relationship between velocity and time for four students was plotted.
The correct order of the magnitude of acceleration from lowest to highest is
regardless of the type of acceleration
\[ 𝑎_4 > 𝑎_2 > 𝑎_1 > 𝑎_3\;\;\;\;\;\;-C\] |
\[ 𝑎_2 > 𝑎_1 > 𝑎_3 > 𝑎_4 \;\;\;\;\;\;-A\] |
\[ 𝑎_1 = 𝑎_2 = 𝑎_3 = 𝑎_4 \;\;\;\;\;\;-D\] |
\[𝑎_3 > 𝑎_1 > 𝑎_2 > 𝑎_4\;\;\;\;\;\;-B\] |
Click here to show the solution
Choose the correct answer
The graph shows the relationship between speed and time for a bicycle. One of the stages of the graph shows the bicycle moving with zero acceleration.
Stage 3 -C |
Stage 1 -A |
Stage 4 -D |
Stage 2 -B |
Click here to show the solution
Choose the correct answer
The graph shows the relationship between velocity and time for a car with a constant mass.
From the graph, we can say
The car is always moving with - C
|
The car is moving with - A
|
The car is moving in one direction - D |
The car is always moving with - B
|
Click here to show the solution
Choose the correct answer
A bicycle moves on a straight line. The graphs show the relationship between position and time. Which graph shows motion with negative acceleration?
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The following graph shows the relationship between velocity and time for a car moving in one direction
with non-constant acceleration. The average acceleration of the car
between the moments
(t=4s , t=8s )
equals
\[𝑎_{𝑎𝑣g}=2\;\;m/s^2\;\;\;\;\;\;-C\] |
\[𝑎_{𝑎𝑣g}=4\;\;m/s^2\;\;\;\;\;\;-A\] |
\[𝑎_{𝑎𝑣g}=5\;\;m/s^2\;\;\;\;\;\;-D\] |
\[𝑎_{𝑎𝑣g}=3\;\;m/s^2\;\;\;\;\;\;-B\] |
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The following graph shows the relationship between velocity and time for a car moving in one direction
with non-constant acceleration. The instantaneous acceleration
at the moment
( t=8s )
equals
\[𝑎_{i}=1.5\;\;m/s^2\;\;\;\;\;\;-C\] |
\[𝑎_{i}=4.5\;\;m/s^2\;\;\;\;\;\;-A\] |
\[𝑎_{i}=2.5\;\;m/s^2\;\;\;\;\;\;-D\] |
\[𝑎_{i}=3.5\;\;m/s^2\;\;\;\;\;\;-B\] |
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A car started from rest with an acceleration of
\[4\;m/s^2\] The velocity it reaches after a time of
\[6\;s\]
\[𝑣𝑓 = 10 \;\;m/s\;\;\;\;\;\;-C\] |
\[𝑣𝑓 = 18 \;\;m/s\;\;\;\;\;\;-A\] |
\[𝑣𝑓 = 12 \;\;m/s\;\;\;\;\;\;-D\] |
\[𝑣𝑓 = 24 \;\;m/s\;\;\;\;\;\;-B\] |
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An American football player moves at a speed of
\[10\;M/S\] He was caught from
behind until he stopped in a time of
\[8\;S\]>The distance he traveled
until stopping
\[∆𝑥 =20 \;\;m\;\;\;\;\;\;-C\] |
\[∆𝑥 =10 \;\;m\;\;\;\;\;\;-A\] |
\[∆𝑥 =30 \;\;m\;\;\;\;\;\;-D\] |
\[∆𝑥 =40 \;\;m\;\;\;\;\;\;-B\] |
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A bicycle moves with uniformly decreasing speed in the negative direction. One of the following answers describes its motion
Positive decelerating acceleration - C |
Negative decelerating acceleration - A |
Positive accelerating acceleration - D |
Zero acceleration - B |
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When a ball is dropped freely from a certain height
then the speed of the ball after
\[3\;s\] equals
\[g=9.81 \frac{m}{s^2}\]
\[𝑣𝑓 = -16.6 \;\;m/s\;\;\;\;\;\;-C\] |
\[𝑣𝑓 = -29.4 \;\;m/s\;\;\;\;\;\;-A\] |
\[𝑣𝑓 = -22.8 \;\;m/s\;\;\;\;\;\;-D\] |
\[𝑣𝑓 = -3.3 \;\;m/s\;\;\;\;\;\;-B\] |
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The graph below shows the relationship between velocity and time for a car. Based on the graph information, the distance traveled equals:
\[∆𝑥_{𝑛𝑒𝑡}=300 \;\;m\;\;\;\;\;\;-C\] |
\[∆𝑥_{𝑛𝑒𝑡}=200 \;\;m\;\;\;\;\;\;-A\] |
\[∆𝑥_{𝑛𝑒𝑡}=250 \;\;m\;\;\;\;\;\;-D\] |
\[∆𝑥_{𝑛𝑒𝑡}=350 \;\;m\;\;\;\;\;\;-B\] |
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A car is moving at a speed of
\[2\;m/s\] The driver changed its speed at a rate of
(0.5 m/s2 )
The distance traveled in a time of
\[1\;min\] equals
\[∆𝑥_{𝑛𝑒𝑡}=1240 \;\;m\;\;\;\;\;\;-C\] |
\[∆𝑥_{𝑛𝑒𝑡}=1430 \;\;m\;\;\;\;\;\;-A\] |
\[∆𝑥_{𝑛𝑒𝑡}=1020 \;\;m\;\;\;\;\;\;-D\] |
\[∆𝑥_{𝑛𝑒𝑡}=900 \;\;m\;\;\;\;\;\;-B\] |
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The graph shows the relationship between velocity and time for a bicycle moving in one dimension
The best graph showing the relationship between acceleration and time for this motion
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When an object falls freely and air resistance is neglected, which of the following physical quantities changes
Force acting on the object -C |
Acceleration of the object -A |
Mass of the object -D |
Velocity of the object -B |
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A ball was dropped freely from a certain height
then the velocity of the ball after
\[3\;s\] equals
\[g=9.81 \frac{m}{s^2}\]
\[𝑣𝑓 = -16.6 \;\;m/s\;\;\;\;\;\;-C\] |
\[𝑣𝑓 = -29.4 \;\;m/s\;\;\;\;\;\;-A\] |
\[𝑣𝑓 = -22.8 \;\;m/s\;\;\;\;\;\;-D\] |
\[𝑣𝑓 = -3.3 \;\;m/s\;\;\;\;\;\;-B\] |
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When an object falls freely in Earth's gravitational field
the displacement traveled is proportional
Inversely with time -C |
Directly with time -A |
Inversely with the square of time -D |
Directly with the square of time -B |
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A ball and a feather were dropped from the same height to fall freely
without initial velocity
and neglecting air resistance
then one of the following answers is correct
We cannot determine -C |
The ball arrives first -A |
The feather and ball arrive together -D |
The feather arrives first -B |
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Pictures were taken of a car at equal time intervals
One of the following shapes represents acceleration
in the negative direction and velocity in the negative direction
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A racing car was observed at position
\[40\;m\] from the starting point with a speed of
\[20\; m/s\] It was noticed that the car was moving with an acceleration of \[a=3 \frac{m}{s^2}\] Then the speed of the car at position \[X_f=120 m \] equals
|
\[ v_f=32.7 \;m/s \;\;\;\;\;\; -C\] |
\[v_f=18.4 \;m/s\;\;\;\;\;\; -A\] |
|
\[v_f=29.6 \;m/s \;\;\;\;\;\; -D\] |
\[v_f=25.3 \;\;\;\;\;\; -B\] |
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Solve the following problems
A spaceship left Earth's orbit on its way to the moon. It accelerated at a rate of
\[15\;\;m/s^2\] for a time period of
\[1.5\;\;min\] and covered a distance of
\[500\;\;km\]
Calculate the speed of the spaceship at the moment of leaving orbit
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Calculate the speed of the spaceship after the specified time has elapsed
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
In a Formula race, a car started the race
The following graph shows the relationship between
(velocity-time) for a bicycle's motion
Yousef wanted to measure the depth of a well
He dropped a stone into the well
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and after a few seconds, a malfunction occurred and the relationship
(velocity-time) was monitored, resulting in the graph below
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At what time was the speed increasing
and the acceleration constant but negative
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
At what time was the speed decreasing
and the acceleration constant but negative
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Calculate from the graph the constant acceleration
from second 15 to second 40
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
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in free fall and observed
the stone hitting the bottom after two seconds
from the moment of dropping the stone, neglecting air resistance
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