📄 Print pdf
00971504825082
Question Bank: Motion Representation in One Dimension
\[\star 1\]
A car moves at constant speed and then increases its speed. One of the following answers represents the particle model of the car's motion.
Click here to show solution
Choose the correct answer
\[\star \star 2\]
Ahmed moved east for a distance of
\[80 \;\;m\]
then continued in the same direction for \[50\;\;m\] then changed direction and moved west for
\[160\;\;m\]. The total distance and displacement are:
\[ s=290 m\;\; ,\;\; ∆X= 30 m \;\;\;\;\;\;-C\]
Displacement westward
\[ s=30 m \;\;, \;\; ∆X= 290 m \;\;\;\;\;\;-A\]
Displacement eastward
\[ s=30 m \;\;, \;\; ∆X= 290 m\;\;\;\;\;\;-D\]
Displacement westward
\[ s=290 m\;\; ,\;\; ∆X= 30 m\;\;\;\;\;\;-B\]
Displacement eastward
Click here to show solution
Choose the correct answer
\[\star 3\]
Ahmed moved from position
\[-4\;\;m\]
to position
\[+8 \;\;m\] then changed his direction
and moved to position
\[-2\;\;m\]. The distance traveled and displacement are:
\[ S=18 m , ∆𝑥= +2 m \;\;\;\;\;\;-C\]
\[ S=12 m , ∆𝑥= +6 m \;\;\;\;\;\;-A\]
\[ S=22 m , ∆𝑥= -2 m \;\;\;\;\;\;-D\]
\[ S=22 m , ∆𝑥= +2 m \;\;\;\;\;\;-B\]
Click here to show the solution
Choose the correct answer
\[\star 4\]
The relationship between position and time for a bicycle is shown in the figure below. The total distance traveled during the entire period equals:
\[ S= 16 m \;\;\;\;\;\;-C\]
\[ S= 18 m \;\;\;\;\;\;-A\]
\[ S= 14 m \;\;\;\;\;\;-D\]
\[ S= 12 m \;\;\;\;\;\;-B\]
Click here to show solution Choose the correct answer
\[\star \star 5\]
The relationship between position and time for a bicycle is shown in the adjacent figure. The displacement during the entire period equals:
\[ ∆𝑥= -8 m \;\;\;\;\;\;-C\]
\[ ∆𝑥= -10 m \;\;\;\;\;\;-A\]
\[ ∆𝑥= -12 m \;\;\;\;\;\;-D\]
\[ ∆𝑥= -6 m \;\;\;\;\;\;-B\]
Click here to show solution Choose the correct answer
\[\star 6\]
The following graph shows the relationship between position and time
for a runner. According to the graph, the average velocity equals:
\[𝑣= 4\; m/s \;\;\;\;\;\;-C\]
\[ 𝑣= - 2\; m/s \;\;\;\;\;\;-A\]
\[𝑣= 2\; m/s \;\;\;\;\;\;-D\]
\[ 𝑣= - 4\; m/s \;\;\;\;\;\;-B\]
Click here to show solution
Choose the correct answer
\[\star 7\]
The following graph shows the relationship between position and time
for a runner. According to the graph, the velocity equals:
\[𝑣=4\; m/s \;\;\;\;\;\;-C\]
\[ 𝑣= 8 \;m/s \;\;\;\;\;\;-A\]
\[𝑣=2\; m/s \;\;\;\;\;\;-D\]
\[ 𝑣= 6 \;m/s \;\;\;\;\;\;-B\]
Click here to show solution
Choose the correct answer
\[\star 8\]
The following graph shows the relationship between position and time.
One of the following graphs represents the motion of an object with constant velocity
in the negative direction.
Click here to show solution
Choose the correct answer
\[\star \star 9\]
The relationship between position and time was plotted for three bicycles
\[A , B , C \] then
\[C\;\;\;\;\;\;-C\]
Moves with higher speed
\[ A\;\;\;\;\;\;-A\]
Moves with higher speed
All bicycles move with the same speed-D
\[ B\;\;\;\;\;\;-B\]
Moves with higher speed
Click here to show solution
Choose the correct answer
\[\star 10\]
Majed moved from Ajman to Umm Al Quwain then changed his direction and headed to Sharjah passing through Ajman
Using the following figure, the distance and displacement traveled
\[ s=42 Km\;\; ,\;\; ∆X= 12 Km \;\;\;\;\;\;-C\]
Displacement to the west
\[ s=42 Km\;\; ,\;\; ∆X= 12 Km \;\;\;\;\;\;-A\]
Displacement to the east
\[ s=27 Km \;\;, \;\; ∆X= 15 Km\;\;\;\;\;\;-D\]
Displacement to the west
\[ s=27 Km \;\;, \;\; ∆X= 15 Km\;\;\;\;\;\;-B\]
Displacement to the east
Click here to show solution
Choose the correct answer
\[\star \star 11\]
The graph below shows the relationship
between position and time for a bicycle's motion
then the distance and displacement traveled equal
\[ s=30 m\;\; ,\;\; ∆X= -30 m \;\;\;\;\;\;-C\]
\[ s=45 m\;\; ,\;\; ∆X= -15 m \;\;\;\;\;\;-A\]
\[ s=30 m \;\;, \;\; ∆X= -15 m\;\;\;\;\;\;-D\]
\[ s=45 m \;\;, \;\; ∆X= 25 m\;\;\;\;\;\;-B\]
Click here to show solution
Choose the correct answer
\[\star 12\]
The graph below shows the relationship between
position and time for two bicycles
at a certain second, both bicycles had
the same speed
\[t=2\; s\;\;\;\;\;\;-C\]
\[ t=4\; s \;\;\;\;\;\;-A\]
\[t=3\; s \;\;\;\;\;\;-D\]
\[t=1\; s\;\;\;\;\;\;-B\]
Click here to show solution
Choose the correct answer
\[\star \star 13\]
The graph shows the relationship between
(position - time) the slope of the graph represents
Distance traveled -C
Displacement traveled -A
Average velocity vector -D
Acceleration -B
Click here to show solution
Choose the correct answer
\[\star \star \star14\]
The graph below shows the relationship between position and time for a bicycle moving at different positions and speeds. In which phase is the bicycle moving at the highest speed?
Click here to show solution Choose the correct answer
\[\star \star 15\]
A car moves in a straight line. The graph below shows the relationship between velocity and time. Which of the following graphs shows the relationship between position and time for the car's motion?
Click here to show the solution
Choose the correct answer
\[\star \star \star 16\]
The graph below shows the relationship between position and time for a student's motion.
Which of the following equations represents the student's motion?
\[ 𝑥=2𝑡+5 \;\;\;\;\;\;-C\]
\[ 𝑥=1.67𝑡+5 \;\;\;\;\;\;-A\]
\[ 𝑥=5𝑡+2\;\;\;\;\;\;-D\]
\[ 𝑥=5𝑡+1.67\;\;\;\;\;\;-B\]
Click here to show the solution
Choose the correct answer
\[\star \star 17\]
A train moves west with an average velocity
\[𝑣=-25\;\;\;m/s\] The displacement covered during
\[∆𝑡=10\;\;\; 𝑚𝑖𝑛𝑡\]
∆𝑥= 2 × 104 m west -C
∆𝑥= 7.5 × 104 m east -A
∆𝑥= 3.5 × 104 m east -D
∆𝑥= 1.5 × 104 m west -B
Click here to show the solution
Choose the correct answer
\[\star 18\]
The graph below shows the relationship between (position - time) for a car's motion
Which of the following graphs represents (velocity - time) for the car's motion?
Click here to show the solution
Choose the correct answer
\[\star 19\]
The relationship between position and time was plotted for a monkey moving at constant speed. If the monkey doubles its speed, which of the following graphs would represent this?
One of the graphs satisfies this condition
Click here to show solution
Choose the correct answer
20
The relationship between position and time was plotted for a bicycle. The average speed during the entire period equals:
\[ 𝑣(𝑎𝑣𝑟𝑔)= 0.12 \; 𝑚/𝑠 \;\;\;\;\;\;-C\]
\[ 𝑣(𝑎𝑣𝑟𝑔)= 0.67 \; 𝑚/𝑠 \;\;\;\;\;\;-A\]
\[𝑣(𝑎𝑣𝑟𝑔)= 0.39 \;𝑚/𝑠 \;\;\;\;\;-D\]
\[ 𝑣(𝑎𝑣𝑟𝑔)= 0.85 \; 𝑚/𝑠 \;\;\;\;\;\;-B\]
Click here to show solution
Choose the correct answer
\[\star \star 21\]
In a bicycle race, Rashid is 120 m east of the starting point. Rashid continued his motion in the same direction at a constant speed of 15 m/s. After 12 seconds, where is Rashid's position relative to the starting point?
\[ X_f=260\;\; m \;\;\;\;\;\;-C\]
\[ X_f=340\;\; m \;\;\;\;\;\;-A\]
\[X_f=300\;\; m \;\;\;\;\;-D\]
\[ X_f=180\;\; m \;\;\;\;\;\;-B\]
Click here to show solution
Choose the correct answer
\[\star \star 22\]
Four students are all moving at constant speed in the direction shown in the figure.
The relationship between (position - time) and (velocity - time) was plotted. One of the graphs represents the motion of student number 4.
Click here to show solution
Choose the correct answer
\[\star 23\]
Rashid started his motion from position -3 m at a constant speed of 2 m/s in the positive horizontal direction. Where is Rashid's position on the coordinate axis after 4 seconds?
\[ X=7\;\; m \;\;\;\;\;\;-C\]
\[ X=5\;\; m \;\;\;\;\;\;-A\]
\[X=8\;\; m \;\;\;\;\;-D\]
\[ X=6\;\; m \;\;\;\;\;\;-B\]
Click here to show solution
Choose the correct answer
\[\star 24\]
Ahmed moved on the horizontal axis according to the following sequence from position:
\[A\;\;\Rightarrow\;\;D\;\;\Rightarrow\;\;B\;\;\Rightarrow\;\;C\]
The origin point was set as shown in the figure at position \[D\]. Based on the figure's data:
Then Ahmed's initial position, final position, and the distance he traveled equal:
\[( Xi=-140 m ) ( Xf=-100 m ) { S=40 m ) \;\;\;\;\;\;-C\]
\[ ( Xi=0 m ) ( Xf=40 m ) { S=320 m ) \;\;\;\;\;\;-A\]
\[ ( Xi=-140 m ) ( Xf=-40 m ) { S=320 m )\;\;\;\;\;-D\]
\[ ( Xi=-140 m ) ( Xf=-100 m ) { S=320 m ) \;\;\;\;\;\;-B\]
Click here to show solution
Choose the correct answer
Solve the Following Problems
1
Ahmed moved and the motion was tracked, with the motion data
placed in the following table
Draw
the graph
showing the relationship between position and time
Calculate the total distance traveled during the entire period
\[.........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
Calculate the average speed
\[.........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
Click here to show the solution method
2
The graph shows the relationship between position and time
for two runners \[A\;\;\;\;B\]. Based on the graph information, answer the following questions
At what moment do the two runners meet?
\[.........................................\;\;\;\;\;\;....................................\]
What is the position of runner
\[A\]
at
\[t=7.5\;s\]
\[.........................................\;\;\;\;\;\;....................................\]
Calculate the average speed of runner
\[B\]
\[.........................................\;\;\;\;\;\;....................................\]\[.........................................\;\;\;\;\;\;....................................\]
Assume that runner \[A\]
doubled his speed
and started from the origin. Draw the graph
on the same figure showing the relationship between position and time
Click here to show the solution method
3
The relationship between position and time
for a bicycle was drawn as shown in the figure below
Calculate the total distance traveled
during
the entire period
\[.........................................\;\;\;\;\;\;....................................\]\[.........................................\;\;\;\;\;\;....................................\]
Calculate the speed during
the first \[8\;\;s\]
\[.........................................\;\;\;\;\;\;....................................\]\[.........................................\;\;\;\;\;\;....................................\]
Calculate the average speed from second
\[8\;\;s \Rightarrow 16\;\; s\]
\[.........................................\;\;\;\;\;\;....................................\]\[.........................................\;\;\;\;\;\;....................................\]
Click here to show the solution method
Question Bank: Motion Representation in One Dimension |
A car moves at constant speed and then increases its speed. One of the following answers represents the particle model of the car's motion.
Click here to show solution
Choose the correct answer
Ahmed moved east for a distance of \[80 \;\;m\] then continued in the same direction for \[50\;\;m\] then changed direction and moved west for \[160\;\;m\]. The total distance and displacement are:
\[ s=290 m\;\; ,\;\; ∆X= 30 m \;\;\;\;\;\;-C\] Displacement westward |
\[ s=30 m \;\;, \;\; ∆X= 290 m \;\;\;\;\;\;-A\] Displacement eastward |
\[ s=30 m \;\;, \;\; ∆X= 290 m\;\;\;\;\;\;-D\] Displacement westward |
\[ s=290 m\;\; ,\;\; ∆X= 30 m\;\;\;\;\;\;-B\] Displacement eastward |
Click here to show solution
Choose the correct answer
Ahmed moved from position
\[-4\;\;m\]
to position
\[+8 \;\;m\] then changed his direction
and moved to position
\[-2\;\;m\]. The distance traveled and displacement are:
\[ S=18 m , ∆𝑥= +2 m \;\;\;\;\;\;-C\] |
\[ S=12 m , ∆𝑥= +6 m \;\;\;\;\;\;-A\] |
\[ S=22 m , ∆𝑥= -2 m \;\;\;\;\;\;-D\] |
\[ S=22 m , ∆𝑥= +2 m \;\;\;\;\;\;-B\] |
Click here to show the solution
Choose the correct answer
The relationship between position and time for a bicycle is shown in the figure below. The total distance traveled during the entire period equals:
\[ S= 16 m \;\;\;\;\;\;-C\] |
\[ S= 18 m \;\;\;\;\;\;-A\] |
\[ S= 14 m \;\;\;\;\;\;-D\] |
\[ S= 12 m \;\;\;\;\;\;-B\] |
Click here to show solutionChoose the correct answer
The relationship between position and time for a bicycle is shown in the adjacent figure. The displacement during the entire period equals:
\[ ∆𝑥= -8 m \;\;\;\;\;\;-C\] |
\[ ∆𝑥= -10 m \;\;\;\;\;\;-A\] |
\[ ∆𝑥= -12 m \;\;\;\;\;\;-D\] |
\[ ∆𝑥= -6 m \;\;\;\;\;\;-B\] |
Click here to show solutionChoose the correct answer
The following graph shows the relationship between position and time
for a runner. According to the graph, the average velocity equals:
\[𝑣= 4\; m/s \;\;\;\;\;\;-C\] |
\[ 𝑣= - 2\; m/s \;\;\;\;\;\;-A\] |
\[𝑣= 2\; m/s \;\;\;\;\;\;-D\] |
\[ 𝑣= - 4\; m/s \;\;\;\;\;\;-B\] |
Click here to show solution
Choose the correct answer
The following graph shows the relationship between position and time
for a runner. According to the graph, the velocity equals:
\[𝑣=4\; m/s \;\;\;\;\;\;-C\] |
\[ 𝑣= 8 \;m/s \;\;\;\;\;\;-A\] |
\[𝑣=2\; m/s \;\;\;\;\;\;-D\] |
\[ 𝑣= 6 \;m/s \;\;\;\;\;\;-B\] |
Click here to show solution
Choose the correct answer
The following graph shows the relationship between position and time.
One of the following graphs represents the motion of an object with constant velocity
in the negative direction.
Click here to show solution
Choose the correct answer
The relationship between position and time was plotted for three bicycles
\[A , B , C \] then
\[C\;\;\;\;\;\;-C\] Moves with higher speed |
\[ A\;\;\;\;\;\;-A\] Moves with higher speed |
All bicycles move with the same speed-D |
\[ B\;\;\;\;\;\;-B\] Moves with higher speed |
Click here to show solution
Choose the correct answer
Majed moved from Ajman to Umm Al Quwain then changed his direction and headed to Sharjah passing through Ajman
Using the following figure, the distance and displacement traveled
\[ s=42 Km\;\; ,\;\; ∆X= 12 Km \;\;\;\;\;\;-C\] Displacement to the west |
\[ s=42 Km\;\; ,\;\; ∆X= 12 Km \;\;\;\;\;\;-A\] Displacement to the east |
\[ s=27 Km \;\;, \;\; ∆X= 15 Km\;\;\;\;\;\;-D\] Displacement to the west |
\[ s=27 Km \;\;, \;\; ∆X= 15 Km\;\;\;\;\;\;-B\] Displacement to the east |
Click here to show solution
Choose the correct answer
The graph below shows the relationship
between position and time for a bicycle's motion
then the distance and displacement traveled equal
\[ s=30 m\;\; ,\;\; ∆X= -30 m \;\;\;\;\;\;-C\] |
\[ s=45 m\;\; ,\;\; ∆X= -15 m \;\;\;\;\;\;-A\] |
\[ s=30 m \;\;, \;\; ∆X= -15 m\;\;\;\;\;\;-D\] |
\[ s=45 m \;\;, \;\; ∆X= 25 m\;\;\;\;\;\;-B\] |
Click here to show solution
Choose the correct answer
The graph below shows the relationship between
position and time for two bicycles
at a certain second, both bicycles had
the same speed
\[t=2\; s\;\;\;\;\;\;-C\] |
\[ t=4\; s \;\;\;\;\;\;-A\] |
\[t=3\; s \;\;\;\;\;\;-D\] |
\[t=1\; s\;\;\;\;\;\;-B\] |
Click here to show solution
Choose the correct answer
The graph shows the relationship between
(position - time) the slope of the graph represents
Distance traveled -C |
Displacement traveled -A |
Average velocity vector -D |
Acceleration -B |
Click here to show solution
Choose the correct answer
The graph below shows the relationship between position and time for a bicycle moving at different positions and speeds. In which phase is the bicycle moving at the highest speed?
Click here to show solution Choose the correct answer
A car moves in a straight line. The graph below shows the relationship between velocity and time. Which of the following graphs shows the relationship between position and time for the car's motion?
Click here to show the solution
Choose the correct answer
The graph below shows the relationship between position and time for a student's motion.
Which of the following equations represents the student's motion?
\[ 𝑥=2𝑡+5 \;\;\;\;\;\;-C\] |
\[ 𝑥=1.67𝑡+5 \;\;\;\;\;\;-A\] |
\[ 𝑥=5𝑡+2\;\;\;\;\;\;-D\] |
\[ 𝑥=5𝑡+1.67\;\;\;\;\;\;-B\] |
Click here to show the solution
Choose the correct answer
A train moves west with an average velocity \[𝑣=-25\;\;\;m/s\] The displacement covered during \[∆𝑡=10\;\;\; 𝑚𝑖𝑛𝑡\]
∆𝑥= 2 × 104 m west -C |
∆𝑥= 7.5 × 104 m east -A |
∆𝑥= 3.5 × 104 m east -D |
∆𝑥= 1.5 × 104 m west -B |
Click here to show the solution
Choose the correct answer
The graph below shows the relationship between (position - time) for a car's motion
Which of the following graphs represents (velocity - time) for the car's motion?
Click here to show the solution
Choose the correct answer
The relationship between position and time was plotted for a monkey moving at constant speed. If the monkey doubles its speed, which of the following graphs would represent this?
Choose the correct answer
The relationship between position and time was plotted for a bicycle. The average speed during the entire period equals:
\[ 𝑣(𝑎𝑣𝑟𝑔)= 0.12 \; 𝑚/𝑠 \;\;\;\;\;\;-C\]
\[ 𝑣(𝑎𝑣𝑟𝑔)= 0.67 \; 𝑚/𝑠 \;\;\;\;\;\;-A\]
\[𝑣(𝑎𝑣𝑟𝑔)= 0.39 \;𝑚/𝑠 \;\;\;\;\;-D\]
\[ 𝑣(𝑎𝑣𝑟𝑔)= 0.85 \; 𝑚/𝑠 \;\;\;\;\;\;-B\]
Choose the correct answer In a bicycle race, Rashid is 120 m east of the starting point. Rashid continued his motion in the same direction at a constant speed of 15 m/s. After 12 seconds, where is Rashid's position relative to the starting point?
\[ X_f=260\;\; m \;\;\;\;\;\;-C\]
\[ X_f=340\;\; m \;\;\;\;\;\;-A\]
\[X_f=300\;\; m \;\;\;\;\;-D\]
\[ X_f=180\;\; m \;\;\;\;\;\;-B\]
Choose the correct answer Four students are all moving at constant speed in the direction shown in the figure.
Choose the correct answer Rashid started his motion from position -3 m at a constant speed of 2 m/s in the positive horizontal direction. Where is Rashid's position on the coordinate axis after 4 seconds?
\[ X=7\;\; m \;\;\;\;\;\;-C\]
\[ X=5\;\; m \;\;\;\;\;\;-A\]
\[X=8\;\; m \;\;\;\;\;-D\]
\[ X=6\;\; m \;\;\;\;\;\;-B\]
Choose the correct answer Ahmed moved on the horizontal axis according to the following sequence from position:
\[A\;\;\Rightarrow\;\;D\;\;\Rightarrow\;\;B\;\;\Rightarrow\;\;C\]
The origin point was set as shown in the figure at position \[D\]. Based on the figure's data:
\[( Xi=-140 m ) ( Xf=-100 m ) { S=40 m ) \;\;\;\;\;\;-C\]
\[ ( Xi=0 m ) ( Xf=40 m ) { S=320 m ) \;\;\;\;\;\;-A\]
\[ ( Xi=-140 m ) ( Xf=-40 m ) { S=320 m )\;\;\;\;\;-D\]
\[ ( Xi=-140 m ) ( Xf=-100 m ) { S=320 m ) \;\;\;\;\;\;-B\]
Choose the correct answer
Ahmed moved and the motion was tracked, with the motion data
placed in the following table
The graph shows the relationship between position and time
for two runners \[A\;\;\;\;B\]. Based on the graph information, answer the following questions
The relationship between position and time
for a bicycle was drawn as shown in the figure below
One of the graphs satisfies this condition
Click here to show solution
Click here to show solution
Click here to show solution
The relationship between (position - time) and (velocity - time) was plotted. One of the graphs represents the motion of student number 4.
Click here to show solution
Click here to show solution
Then Ahmed's initial position, final position, and the distance he traveled equal:
Click here to show solution
Solve the Following Problems
Draw
the graph
showing the relationship between position and time
Calculate the total distance traveled during the entire period
\[.........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
Calculate the average speed
\[.........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
Click here to show the solution method
At what moment do the two runners meet?
\[.........................................\;\;\;\;\;\;....................................\]
What is the position of runner
\[A\]
at
\[t=7.5\;s\]
\[.........................................\;\;\;\;\;\;....................................\]
Calculate the average speed of runner
\[B\]
\[.........................................\;\;\;\;\;\;....................................\]\[.........................................\;\;\;\;\;\;....................................\]
Assume that runner \[A\]
doubled his speed
and started from the origin. Draw the graph
on the same figure showing the relationship between position and time
Click here to show the solution method
Calculate the total distance traveled
during
the entire period
\[.........................................\;\;\;\;\;\;....................................\]\[.........................................\;\;\;\;\;\;....................................\]
Calculate the speed during
the first \[8\;\;s\]
\[.........................................\;\;\;\;\;\;....................................\]\[.........................................\;\;\;\;\;\;....................................\]
Calculate the average speed from second
\[8\;\;s \Rightarrow 16\;\; s\]
\[.........................................\;\;\;\;\;\;....................................\]\[.........................................\;\;\;\;\;\;....................................\]
Click here to show the solution method
0 Comments