1. A cycle track is 500m long. A cyclist completes 10 laps.
(a) Calculate the total distance covered by the cyclist. ______[1]
(b) On average, it took the cyclist 90 seconds to complete one lap of the track. Calculate the average speed of the cyclist. ______[2]
2. A car travels along a straight horizontal road. Use the following data to plot a distance-time graph for this car. [3]
(a) Describe the motion of the car during the first 20 seconds. ______[2]
(b) Calculate the speed of the car during the first 10 seconds from the graph. ______[2]
(c) Calculate the average speed of the car for the whole journey. ______[2]
3. The speed-time graph below shows the first 50 seconds of a car travelling along a flat road.
(a) Use the following information to complete the graph. [2]
- Between 50 and 70 seconds the car continues with a constant velocity.
- It is then brought to rest in a further 20 seconds by a constant decelerating force.
(b) From the graph find:
(i) The length of time the car was speeding up. ______[1]
(ii) The total length of time the car was travelling with a constant velocity ______[1]
(iii) The length of time the car was travelling with a speed greater than 20 m/s. ______[1]
(c) Describe the motion of the car between 30 and 40 seconds. ______[1]
4. A girl runs at an average speed of 0.5 m/s around an athletics track. Calculate the time it takes her to cover a distance of 1000 m? ______[2]
5. Use the equation for speed to fill in the blanks in the following table.
[3]
6. (a) Write down, in words, an equation linking change in speed, time and acceleration. ______[1]
(b) What are the units of acceleration? ______[1]
(c) A car changes its velocity from 10 m/s to 35 m/s in 5 seconds. Calculate its acceleration. ______[3]
7. A plane lands on a runway and begins to decelerate from a speed of 20 m/s to 0 m/s at a constant rate of 5 m/s2. Find the time it takes for the plane to stop. ______[2]
8. A cyclist sprints towards the finish line by increasing his velocity from 8 m/s to 12 m/s in 4 seconds. Calculate the acceleration of the cyclist. ______[2]
9. The speed-time graph below shows the motion of an object moving in a straight line along a horizontal road.
(a) Describe the motion of the object during the first 20 seconds. ______[1]
(b) How far did it travel between 0 and 20 seconds?
______[2]
(b) Calculate the deceleration of the object. ______[2]
10. A car approaches some traffic lights at a speed of 20 m/s when the lights turn red. It takes the car 1 second to apply the brakes and it takes a further 5 seconds for the car to decelerate to rest.
Plot a speed-time graph of the motion after the lights turn red. [3]