Equations of uniformly accelerated motionEdexcel International A Level Physics: Subtopic test

1. 1
   A car travelling in a straight line on a level road at 24 m s⁻¹ brakes with a constant deceleration and comes to rest after 6.0 s.

   (a)

   What is the magnitude of the deceleration of the car?

   [1 mark]

   • A2.0 m s⁻²
   • B144 m s⁻²
   • C4.0 m s⁻²
   • D0.25 m s⁻²

   (b)

   What is the distance travelled by the car while it is braking?

   [1 mark]

   • A144 m
   • B72 m
   • C36 m
   • D4.0 m

   (c)

   Calculate the distance travelled by the car in the first 3.0 s of braking.

   [2 marks]

   Total for question 1: 4 marks

2. 2
   A ball is thrown vertically upwards from a point at ground level with an initial speed of 15 m s⁻¹. Air resistance is negligible and the acceleration of free fall is 9.81 m s⁻².

   (a)

   What is the acceleration of the ball at the highest point of its motion?

   [1 mark]

   • A9.81 m s⁻² downwards
   • Bzero
   • C9.81 m s⁻² upwards
   • D15 m s⁻² downwards

   (b)

   What is the maximum height reached by the ball above the point of release?

   [1 mark]

   • A22.9 m
   • B1.5 m
   • C5.7 m
   • D11.5 m

   (c)

   Calculate the time taken for the ball to return to ground level.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   A driver is travelling at 20 m s⁻¹ along a straight road. When the driver sees an obstacle there is a reaction time of 0.70 s before the brakes are applied, during which the speed stays constant. The car then decelerates uniformly at 6.0 m s⁻² until it stops or hits the obstacle.

   (a)

   Calculate the distance the car travels from the moment the driver sees the obstacle until the car stops.

   [3 marks]

   (b)

   The obstacle is actually 40 m from the car at the moment the driver sees it. Calculate the speed at which the car hits the obstacle.

   [4 marks]

   Total for question 3: 7 marks

4. 4
   A lift in a tall building starts from rest and accelerates uniformly at 1.2 m s⁻² for 10 s. It then moves at constant speed for 40 s before decelerating uniformly at 1.5 m s⁻² until it comes to rest at the top floor.

   (a)

   Determine the average speed of the lift for the whole journey.

   [6 marks]

   (b)

   A student says that the equation s = (u + v)t/2 can be applied to the whole 58 s journey to find the total distance. Evaluate the student's statement.

   [6 marks]

   Total for question 4: 12 marks

End of questions