Velocity Time Graph Quiz
Questions: 16 · 10 minutes
1. A velocity-time graph is horizontal at −4 m/s. Which description is correct?
The object is stationary with an acceleration of −4 m/s²
The object moves in the positive direction while slowing down
The object moves in the negative direction while speeding up
The object moves at constant velocity in the negative direction
2. An object accelerates uniformly from 0 to 8 m/s over 4 seconds, then continues at 8 m/s for 2 seconds. What is its average velocity over the full 6 seconds?
4 m/s
16/3 m/s, or about 5.33 m/s
6 m/s
8 m/s
3. An object starts from rest and reaches 12 m/s with uniform acceleration after 6 seconds. What displacement is represented by this triangular section of the graph?
36 m
24 m
18 m
72 m
4. A velocity-time graph is horizontal at +5 m/s from 0 to 4 seconds. What is the object's displacement during this interval?
20 m
9 m
5 m
1.25 m
5. A continuous velocity-time line crosses the time axis from positive velocity to negative velocity. What does this indicate?
The object instantly moves to a different position
The object momentarily stops and changes direction
The object's acceleration becomes zero at the crossing
The object's total distance traveled becomes zero
6. A straight velocity-time line stays above the time axis but slopes downward. Which motion does it represent?
Motion in the negative direction at increasing speed
Motion in the negative direction at decreasing speed
Motion in the positive direction at decreasing speed
Motion in the positive direction at constant speed
7. A velocity-time curve remains above the time axis and rises throughout, but it gradually becomes less steep. What is happening to the acceleration?
It remains constant and positive
It is positive but becoming smaller
It is negative throughout
It is zero because the velocity is positive
8. An object travels at +3 m/s for 2 seconds and then at −2 m/s for 4 seconds. What total distance does it travel?
14 m
8 m
4 m
2 m
9. An object's velocity increases uniformly from 2 m/s to 10 m/s over 4 seconds. What acceleration does the graph show?
1.5 m/s²
3 m/s²
2 m/s²
8 m/s²
10. In an idealized velocity-time graph, the line jumps vertically from 3 m/s to 7 m/s at one instant. What does this feature represent?
Four metres of displacement at that instant
Four seconds of stationary motion
An instantaneous change in velocity in the idealized model
A period of constant acceleration lasting four seconds
11. If velocity is measured in metres per second and time in seconds, what unit results from calculating the signed area under a velocity-time graph?
Metres per second squared
Seconds per metre
Metres per second
Metres
12. Which velocity-time graph segment represents a constant acceleration of −3 m/s²?
A horizontal straight line at −3 m/s
A straight line whose velocity rises by 3 m/s each second
A curve whose velocity falls by 3 m/s over the entire interval
A straight line whose velocity falls by 3 m/s each second
13. Which condition on a velocity-time graph confirms that an object finishes at its starting position?
Its final velocity equals its initial velocity
The positive and negative signed areas cancel exactly
The total unsigned area between the graph and time axis is positive
The graph crosses the time axis at least once
14. A velocity-time graph lies along the time axis from 6 to 9 seconds. What is true during that interval?
The object is stationary
The object has constant positive acceleration
The object moves with a constant nonzero speed
The object must return to its starting position
15. One section of a velocity-time graph has a signed area of +12 m, and the next section has a signed area of −12 m. What is the net displacement across both sections?
A displacement of 24 m in the positive direction
A displacement of 12 m in the positive direction
A displacement of 12 m in the negative direction
Zero net displacement
16. Line A shows velocity rising by 8 m/s in 2 seconds. Line B shows velocity rising by 12 m/s in 4 seconds. Which line represents the greater acceleration?
They show equal acceleration because both velocities increase
Line B, because its total change in velocity is larger
Line A, because its gradient is 4 m/s²
The lines cannot be compared without knowing the objects' positions