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Quiz Chapter 7: Graphs of Motion

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

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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 cyclist moves according to a distance-time graph. The distance increases from 0 km to 12 km in 0.5 hours. What is the speed in km/h?

  1. A. 6 km/h
  2. B. 12 km/h
  3. C. 24 km/h
  4. D. 48 km/h
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Answer: C

Speed = Gradient = 12 - 00.5 - 0 = 24 km/h.

2. If a vehicle accelerates from 10 m/s to 30 m/s in 5 seconds, what is its acceleration?

  1. A. 2 m/s²
  2. B. 4 m/s²
  3. C. 6 m/s²
  4. D. 8 m/s²
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Answer: B

Acceleration = v - ut = 30 - 105 = 205 = 4 m/s².

3. The speed-time graph of a particle is a triangle with base = 8 seconds and height = 15 m/s. What is the distance traveled?

  1. A. 60 m
  2. B. 120 m
  3. C. 90 m
  4. D. 30 m
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Answer: A

Distance = Area of triangle = 12 × base × height = 12 × 8 × 15 = 60 m.

4. If a motorcycle decelerates from 25 m/s to a complete stop in 10 seconds, what is its rate of deceleration?

  1. A. -2.5 m/s²
  2. B. 2.5 m/s²
  3. C. 0.4 m/s²
  4. D. -0.4 m/s²
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Answer: B

Acceleration = 0 - 2510 = -2.5 m/s². The rate of deceleration (magnitude of slowing down) is 2.5 m/s².

5. What does a negative gradient on a distance-time graph indicate?

  1. A. The object is decelerating
  2. B. The object is returning towards the origin/starting point
  3. C. The object is speeding up
  4. D. The object is stationary
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Answer: B

A negative gradient on a distance-time graph means distance from the start point is decreasing, so the object is returning.

6. What physical quantity does the gradient of a distance-time graph represent?

  1. A. Acceleration
  2. B. Speed
  3. C. Distance
  4. D. Time
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Answer: B

The gradient of a distance-time graph is the rate of change of distance with respect to time, which equals speed.

7. A train travels at a uniform speed of 24 m/s for 30 seconds. What is the distance traveled during this period?

  1. A. 360 m
  2. B. 480 m
  3. C. 720 m
  4. D. 960 m
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Answer: C

Distance = Speed × Time = 24 m/s × 30 s = 720 m.

8. On a speed-time graph, a trapezoid has parallel sides of lengths 10 s and 18 s, and a height of 20 m/s. What is the total distance?

  1. A. 140 m
  2. B. 280 m
  3. C. 360 m
  4. D. 560 m
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Answer: B

Distance = Area of trapezium = 12 × (10 + 18) × 20 = 12 × 28 × 20 = 280 m.

9. 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).

10. 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.

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