Name ______________________________________ Date ______________________
Unit 3: Velocity-Time Graphs and Acceleration Review
Section 1: Know the definitions and/or graphical representations of the following vocabulary words.
1) Describe the motion of an object if it is moving at a constant velocity.
2) What are the three ways an object can change its velocity?
3) What information about the motion of an object can be determined from a Velocity Vs. Time graph?
4) What basic information about an objects motion cannot be determined from a Velocity Vs. Time Graph?
5) What is meant by uniform acceleration?
6) An object has a negative velocity but a positive acceleration. What does this mean about the motion of the
object?
7) An object has a negative velocity and a negative acceleration. What does this mean about the motion of the
object?
8) If you had the below velocity vs. time graph, describe how would you find displacement and average
acceleration during the time interval t=3 s to 7 s?
Section 2: Work through each of the following problems.
1) Use the velocity-time graph to answer the questions below.
Velocity - Time Graph
9
8
Velocity (m/s)
7
6
5
4
3
2
1
0
0
3
6
9
12
15
18
21
24
27
30
33
36
39
Time (s)
a) Find the average accelerations and the displacements for the following time intervals from the velocity vs.
time graph:
Average Acceleration
Displacement in
Time Interval
2
in m/s
meters
0 to 6 seconds
6 to 15 seconds
15 to 24 seconds
24 to 33 seconds
b) Use the graph to determine the objects instantaneous acceleration at 6.75 s.
2) A ball is rolled to the right across a table. The motion diagram is shown below.
d0 = 0.100 m
t0 = 0.125 s
d1 = 0.263 m
t1 = 0.250 s
d2 = 0.488 m
t2 = 0.375 s
d3 = 0.763 m
t3 = 0.500 s
d4 = 1.075 m
t4 = 0.625 s
d6 = 1.1 m
t6 = 0.875 s
d5 = 1.09 m
t5 = 0.750 s
a) What is the direction of the velocity and acceleration of the ball?
b) Is the ball speeding up, slowing down or maintaining a constant velocity? How do you know?
3) Use the velocity-time graph to answer the questions below.
a) Name two specific clock readings at which
the object turns around.
g) Find the average acceleration from 2 s to 9 s?
b) Name the two time intervals in which the
object is traveling in the positive direction.
h) Find the average acceleration from 6 s to 10 s?
i)
Find the average acceleration from 1 s to 4 s?
j)
Find the displacement of the object from t= 0 s to
3 s.
c) Name the one time interval in which the
object is traveling in the negative direction.
d) Name a time interval in which the object is
moving in the positive direction but it has a
negative acceleration.
k) Find the displacement of the object from t= 3 s to
8 s.
e) During which time interval(s) is the object
only moving at a constant non-zero speed?
f)
During which time interval(s) does the object
only have displacements to the left (-)?
l)
Find the displacement of the object from t= 8 s to
10 s.
m) Find the displacement of the object from t= 0 s to
10 s.
4) A Toyota Corolla has an initial velocity of +11.3 m/s. If the Corolla has a constant acceleration of +5.83 m/s2,
𝑣−𝑣
what is its velocity after 5.62 s? (Use 𝑎 = 𝑡 0 and solve for final velocity, v.)
5)
A ball is tossed into the air. What is its acceleration at the highest point in its trajectory?
6) Sketch a velocity vs. time graph of a basketball that is thrown straight up in the air and falls down to the ground.
7) A car is moving north on the freeway, the driver presses on the brakes. What is the direction of the acceleration
of the car?
Graph matching- supply the missing description or the missing graph. Each situation represents one
dimensional motion.
Velocity versus Time Histories
Written Interpretations
9)
10) An object, initally at rest, increases its velocity
uniformly in the positive direction then slows to a
stop and speeds up uniformaly in the negative
direction.
11)
12) An object stars out moving in the positive
direction and maintains a constant velocity.
Consider the following P-T and V-T graphs of an object moving along a straight level path. Both graphs are of the same
object in motion.
120
80
40
0
-40
-80
-120
-160
-200
Velocity-Time Graph
Velocity (m/s)
Position (m)
Position-Time Graph
0
4
8 12 16 20 24 28 32 36 40 44
Time(s)
13) Which graph would you use to find the initial
position of the object?
50
40
30
20
10
0
-10
-20
-30
-40
-50
0
4
8 12 16 20 24 28 32 36 40 44
Time (s)
19) Find the average acceleration from 12 s to
37 s?
Explain your choice.
20) Find the average velocity from 16 s to 32 s?
14) What is the initial position of the object?
21) Find the average velocity from 16 s to 36 s?
15) Describe the motion of the object using the
graphs above.
22) Find the instantaneous acceleration at 8 s.
16) Find the displacement of the object from 0 s to
16 s using the P-T graph. (Show your work.)
23) Find the instantaneous acceleration at 34 s.
17) Find the displacement of the object from 0 s to
16 s using the V-T graph. (Show your work.)
24) Find the instantaneous velocity at 8 s.
18) Find the average acceleration from 0 s to 33 s?
25) Find the instantaneous velocity at 34 s.