STEM 698 Velocity Time Graphs and Displacement
1. Suppose an object is moving in a straight line and it has the following velocity-time
graph:
a. Describe the motion of the object.
b. Is the object in uniform motion?
c. What would the distance time graph of the motion look like?
d. What is the total displacement from time t = 0 seconds to t = 6 seconds (in this case, the
total displacement is the total distance travelled from the starting point)?
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2. Suppose an object is moving in a straight line and it has the following velocity-time
graph:
a. What is the speed of the object at time t = 3 seconds?
b. What is the speed of the object at time t = 7 seconds?
c. Describe the motion of the object.
d. Is the object in uniform motion for the entire 8 seconds?
e. What is the total displacement over the 8 seconds (in this case, the total displacement is
the total distance travelled from the starting point).
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3. (Trickier) Suppose an object is moving in a straight line and it has the following velocitytime graph:
a. What is the speed of the object at time t = 2 seconds?
b. What is the speed of the object at time t = 6 seconds?
c. Describe the motion of the object. (Hint. What does negative velocity mean in this
context?)
d. What is the total displacement over the 9 seconds (in this case, the total displacement is
NOT the total distance travelled from the starting point, but rather how far the object ends
up from the starting point).
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4. Suppose an object is moving in a straight line and it has the following velocity-time
graph:
a. What is the speed of the object at time t = 2 seconds?
b. What is the speed of the object at time t = 4 seconds?
c. Describe the motion of the object.
d. Is the object in uniform motion?
e. What is the acceleration of the object?
f. What is the total displacement over the 5 seconds?
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5. Suppose an object is moving in a straight line and it has the following velocity-time
graph:
a. What is the speed of the object at time t = 3 seconds?
b. What is the speed of the object at time t = 9 seconds?
c. Describe the motion of the object.
d. What is the acceleration of the object at time t = 3 seconds?
e. What is the acceleration of the object at time t = 9 seconds?
f. What is the total displacement over the 10 seconds?
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6. Suppose an object is moving in a straight line and it has the following velocity-time
graph:
a. What is the equation of the velocity graph?
b. What is the speed of the object at time t = 3 seconds?
c. What is the acceleration of the object at time t = 4 seconds?
d. What is the total displacement over the 8 seconds?
e. What is the total displacement over the first t seconds?
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