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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 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?

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. 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.

4. 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
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Answer: B

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

5. 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.

6. 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.

7. 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
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Answer: B

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

8. 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
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Answer: C

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

9. A runner accelerates from 0 to 8 m/s in 4 seconds, runs at 8 m/s for 10 seconds, and stops in 2 seconds. What is the total distance covered?

  1. A. 88 m
  2. B. 104 m
  3. C. 112 m
  4. D. 128 m
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Answer: B

Total time = 4 + 10 + 2 = 16 s. Flat top duration = 10 s. Area of trapezium = 12 × (10 + 16) × 8 = 12 × 26 × 8 = 104 m.

10. 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).

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