Motion, Displacement Velocity and Acceleration
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1 Motion, Displacement velocity and Acceleration Question paper 1 Level GCSE Subject Physics Exam Board CCEA Topic Motion Sub-Topic Motion, Displacement Velocity and Acceleration Booklet Question paper 1 Time Allowed: 66 minutes Score: /55 Percentage: /100
2 Foundation Tier 1
3 1 (a) (i) In 2009 the sprinter Usain Bolt ran the 100 m sprint in a time of 9.58 s. Calculate his average speed during this race. Average speed 5 m/s [2] (ii) Explain why your answer is an average speed. [1] 2
4 (iii) To detect speeding motorists speed cameras are located on the roadside. One type of speed camera measures the average speed of a motorist. Those motorists who exceed this average speed are prosecuted. The diagram below represents the layout of the system. Direction in which car travels Speed camera 1 Speed camera 2 Explain carefully and in detail how this system of speed cameras measures the average speed of a car. In this question you will be assessed on your written communication skills including the use of specialist terms. [6] 3
5 (b) The speed time graph for the motion of a car is shown below. Speed in m/s Time in s (i) Using the graph calculate the total distance travelled by the car in 8.0 s. Distance 5 m [3] 4
6 (ii) Calculate the acceleration of the car. Remember to give the unit for acceleration. Acceleration 5 [3] 5
7 Higher Tier 6
8 2 (a) To investigate the motion of a ball falling from rest a series of photographs were taken at regular intervals. The diagram on the right was copied from the photographs obtained. (i) Describe the motion of the ball and explain how the diagram supports your answer. 1.2 m [2] (ii) Each photograph is taken 0.1 s apart. Using the diagram calculate the average velocity of the ball when it has fallen 1.2 m from rest. Do not assume a value for the acceleration due to gravity in your answer. Average velocity = m/s [3] 7
9 (iii) Using the equation below and your answer to (a)(ii), calculate the final velocity of the ball when it has fallen 1.2 m. Average velocity = initial velocity + final velocity 2 Remember the ball falls from rest. Final velocity = m/s [3] (iv) Calculate the acceleration of the ball as it falls. Acceleration = m/s 2 [4] 8
10 (b) Some of the data from the series of photographs is plotted on the grid below. S is the distance fallen in millimetres and T is the time in seconds S/mm T/s (i) Complete the graph by drawing either a curve or a straight line by deciding which one best fits the data points. [1] 9
11 The relationship between the distance fallen S and the time T is given by the equation S = kt 2 where k is a constant. (ii) Using values taken from the graph you have drawn calculate the value of k. k = mm/s 2 [3] 10
12 (c) The diagram below shows some of the forces acting on a car. The car is accelerating at 0.5 m/s 2. The car has a mass of kg. The driving force on the car is N N ancroft/ istock/ Thinkstock (i) Calculate the resultant force acting on the car. Resultant force = N [2] (ii) Calculate the frictional force acting on the car. Frictional force = N [2] 11
13 3 (a) (i) In 2009 the sprinter Usain Bolt ran the 100 m sprint with an average speed of m/s. Calculate the time he recorded for this race. Time to run 100 m = s [2] (ii) Explain why m/s is his average speed. [1] 12
14 (iii) To detect speeding motorists speed cameras are located on the roadside. One type of speed camera measures the average speed of a motorist. Those motorists who exceed this average speed are prosecuted. The diagram below represents the layout of the system. Direction in which car travels Speed camera 1 Speed camera 2 Explain carefully and in detail how this system of speed cameras measures the average speed of a car. In this question you will be assessed on your written communication skills including the use of specialist terms. [6] 13
15 (b) The speed time graph for the motion of a car as it approaches a set of traffic lights is shown below. Speed in m/s Time in s (i) Using the graph calculate the distance travelled by the car during the 8 s of its motion shown in the graph. Distance 5 m [4] 14
16 (ii) Calculate the deceleration of the car after the brakes have been applied. Deceleration 5 m/s 2 [2] (iii) The car has a mass of 800 kg. Using your answer to part (ii) calculate the force acting on the car when the brakes are applied. Force 5 N [3] 15
17 (iv) A car with the same mass (800 kg) is towing a trailer. This car and trailer are also travelling at 20 m/s. The braking force remains unchanged from the value you calculated for part (iii). Explain carefully why a driver should allow for a greater stopping distance when towing a trailer. [2] 16
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