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Quiz Chapter 7: Graphs of Motion

10 questions · Form 4 Mathematics Bab 7: Graphs of Motion

Question 1 of 10Score: 0

A car's motion is graphed on a speed-time graph. Section A has a gradient of 3, Section B has a gradient of 0, and Section C has a gradient of -5. Rank the magnitude of acceleration/deceleration from highest to lowest.

Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. A car's motion is graphed on a speed-time graph. Section A has a gradient of 3, Section B has a gradient of 0, and Section C has a gradient of -5. Rank the magnitude of acceleration/deceleration from highest to lowest.

  1. A. Section A, Section B, Section C
  2. B. Section C, Section A, Section B
  3. C. Section B, Section A, Section C
  4. D. Section C, Section B, Section A
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Answer: B

Magnitude of gradient: Section C is |-5| = 5 m/s², Section A is |3| = 3 m/s², Section B is 0 m/s². Highest magnitude is C > A > B.

2. If an object has an initial speed of u m/s and comes to rest after t seconds with acceleration a, which equation represents the relationship?

  1. A. a = ut
  2. B. a = -ut
  3. C. a = tu
  4. D. a = u × t
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Answer: B

Final speed v = 0. Acceleration a = v - ut = 0 - ut = -ut.

3. What does a horizontal line on a speed-time graph signify?

  1. A. The object is stationary
  2. B. The object is moving at constant/uniform speed
  3. C. The object is accelerating at a constant rate
  4. D. The object has returned to its starting position
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Answer: B

A horizontal line on a speed-time graph means the speed remains constant over time (zero acceleration).

4. Convert a speed of 72 km/h into m/s.

  1. A. 15 m/s
  2. B. 20 m/s
  3. C. 25 m/s
  4. D. 30 m/s
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Answer: B

72 km/h = 72 × 1000 m3600 s = 720003600 = 20 m/s.

5. A horizontal line on a distance-time graph means that the object is:

  1. A. Moving at uniform speed
  2. B. Accelerating
  3. C. Stationary (at rest)
  4. D. Decelerating
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Answer: C

A horizontal line on a distance-time graph means distance is constant as time passes, so speed is 0 and the object is stationary.

6. If the gradient of a speed-time graph is zero during a 12-second interval, what is the acceleration during that time?

  1. A. 12 m/s²
  2. B. 1 m/s²
  3. C. 0 m/s²
  4. D. Cannot be calculated
Show answer

Answer: C

Gradient of speed-time graph represents acceleration. Zero gradient means zero acceleration.

7. A car travels 150 km in 2.5 hours. What is its average speed in km/h?

  1. A. 50 km/h
  2. B. 60 km/h
  3. C. 75 km/h
  4. D. 90 km/h
Show answer

Answer: B

Average Speed = Total Distance / Total Time = 150 km / 2.5 h = 60 km/h.

8. What physical quantity does the area under a speed-time graph represent?

  1. A. Average speed
  2. B. Acceleration
  3. C. Distance traveled
  4. D. Deceleration
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Answer: C

The area enclosed under a speed-time graph and the time axis equals the total distance traveled.

9. What is the formula for calculating average speed from a distance-time graph?

  1. A. Average Speed = Final Distance - Initial Distance
  2. B. Average Speed = Total Distance Covered / Total Time Taken
  3. C. Average Speed = Maximum Speed / 2
  4. D. Average Speed = Total Area Under Graph / Total Time
Show answer

Answer: B

By definition, Average Speed is always calculated as Total Distance Covered divided by Total Time Taken.

10. What does a negative gradient on a speed-time graph indicate?

  1. A. Deceleration (reduction in speed)
  2. B. Motion in the reverse direction
  3. C. Stationary position
  4. D. Constant acceleration
Show answer

Answer: A

A negative gradient on a speed-time graph indicates that speed is decreasing over time, which is deceleration.

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