Worksheet Chapter 7: Graphs of Motion

1. A speed-time graph shows a car accelerating uniformly from 0 to 24 m s⁻¹ in 6 seconds, traveling at a uniform speed of 24 m s⁻¹ for 14 seconds, and then decelerating to a stop in 5 seconds. (a) State the uniform speed of the car. (b) Calculate the acceleration of the car in the first 6 seconds.

2. A train accelerates from rest to a speed of v m s⁻¹ in 10 seconds. It then maintains this speed for 30 seconds before decelerating at 2 m s⁻² until it comes to a complete stop. (a) Express the time taken during deceleration in terms of v. (b) If the total distance covered by the train throughout the entire journey is 900 m, find the value of v.

3. True or False: A horizontal line on a speed-time graph means the object is stationary.

4. Which of the following units is commonly used for acceleration?

5. Fill in the blank: The gradient of a distance-time graph represents ________.

6. Convert the following speeds: (a) 90 km h⁻¹ to m s⁻¹ (b) 15 m s⁻¹ to km h⁻¹

7. True or False: The area under a distance-time graph gives the total distance traveled.

8. A bus leaves Town A at 0800 and arrives at Town B at 1030. The distance between Town A and Town B is 175 km. Calculate the average speed of the bus in km/h.

9. The speed-time graph of a van over a period of t seconds consists of: - Constant acceleration from 0 to 18 m s⁻¹ in 8 seconds. - Uniform speed of 18 m s⁻¹ from t = 8 to t = 20 seconds. - Constant deceleration from 18 m s⁻¹ to 0 in (t - 20) seconds. Given that the total distance traveled is 450 m, calculate the value of t.

10. The diagram describes a distance-time graph for Encik Farid's journey: - 0 to 40 minutes: Covers 30 km - 40 to 65 minutes: Rest stop (distance remains 30 km) - 65 to 105 minutes: Returns to origin (distance drops from 30 km to 0 km) Calculate: (a) The duration in minutes for which Encik Farid is stationary. (b) The speed in km h⁻¹ for the return trip.