HARD
AS and A Level
IMPORTANT
Earn 100

A car is travelling at 15 m s-1 when the speed limit increases and the car accelerates at a constant rate of 3 m s-2 until reaching a top speed of 30 m s-1.

Once the car is at top speed, there is a set of traffic lights 600 m away. The car maintains 30 m s-1 until it starts to decelerate at a constant rate of 5 m s-2 to come to rest at the lights. Find the time taken from reaching top speed until it comes to rest at the traffic lights.

Important Questions on Velocity and Acceleration

HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 1 - Velocity and Acceleration>END-OF-CHAPTER REVIEW EXERCISE 1>Q 3

In a race, the lead runner is 60 m ahead of the chaser with 200 m to go and is running at 4 m s-1. The chaser is running at 5 m s-1.

Find the minimum constant acceleration required by the chaser to catch the lead runner.

HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 1 - Velocity and Acceleration>END-OF-CHAPTER REVIEW EXERCISE 1>Q 3

In a race, the lead runner is 60 m ahead of the chaser with 200 m to go and is running at 4 m s-1. The chaser is running at 5 m s-1.

If the lead runner is actually accelerating at a constant rate of 0.05 m s-2, find the minimum constant acceleration required by the chaser to catch the lead runner.

MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 1 - Velocity and Acceleration>END-OF-CHAPTER REVIEW EXERCISE 1>Q 4
A jet aeroplane coming in to land at 100 m s-1 needs 800 m of runway.
Find the deceleration, assumed constant, the aeroplane can produce.
HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 1 - Velocity and Acceleration>END-OF-CHAPTER REVIEW EXERCISE 1>Q 4

A jet aeroplane coming in to land at 100 m s-1 needs 800 m of runway.

On an aircraft carrier, the aeroplane has only 150 m to stop. There are hooks on the aeroplane that catch arresting wires to slow it down. If the aeroplane catches the hook 50 m after landing, find the deceleration during the last 100 m.

HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 1 - Velocity and Acceleration>END-OF-CHAPTER REVIEW EXERCISE 1>Q 5

The sketch shows a velocity-time graph for a sled going down a slope. Sketch the displacement-time graph, marking the displacements at each change in the motion

Question Image

MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 1 - Velocity and Acceleration>END-OF-CHAPTER REVIEW EXERCISE 1>Q 6

The sketch shows a velocity-time graph for rowers in a race. Given that the race is 350 m long and finishes at time 50 s, find the value of v.

Question Image

HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 1 - Velocity and Acceleration>END-OF-CHAPTER REVIEW EXERCISE 1>Q 7
A footballer kicks a ball directly towards a wall 10 m away and walks after the ball in the same direction at a constant 2 m s-1. The ball starts at 4 m s-1 but decelerates at a constant rate of 0.5 m s-2. When it hits the wall it rebounds to travel away from the wall at the same speed with which it hit the wall.
Find the time after the initial kick when the ball returns to the footballer.
MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 1 - Velocity and Acceleration>END-OF-CHAPTER REVIEW EXERCISE 1>Q 7

A footballer kicks a ball directly towards a wall 10 m away and walks after the ball in the same direction at a constant 2 m s-1. The ball starts at  4 m s-1 but decelerates at a constant rate of 0.5 m s-2. When it hits the wall it rebounds to travel away from the wall at the same speed with which it hit the wall.

What assumptions have been made in your answer?