[2](a)A cyclist accelerates uniformly from rest to 24 m/s in 8.0 s. Calculate the acceleration.

[2](b)Calculate the distance travelled during this acceleration.

[1](c)Sketch the shape of the velocity-time graph for this motion (describe it in words).

[2](a)A ball is dropped from rest and falls freely for 3.0 s before hitting the ground. Taking g = 10 m/s², calculate its velocity just before landing.

[2](b)Calculate the height from which the ball was dropped.

[3](a)A car travels at a constant 15 m/s for 40 s, then decelerates uniformly to rest in a further 10 s. Calculate the total distance travelled.

[2](b)Calculate the average speed for the whole journey.

[2](a)Distinguish between speed and velocity.

[3](b)A runner completes one lap of a 400 m circular track in 50 s, finishing back at the start. State the runner's average speed and their average velocity, explaining any difference.

[2](a)A car starts at 5 m/s and accelerates at 2 m/s² for 6 s. Calculate its final velocity.

[2](b)Calculate the distance travelled during this time.

[2](a)A ball starts from rest and accelerates at 4 m/s² over a distance of 50 m. Calculate its final velocity using v² = u² + 2as.

[2](a)A train decelerates uniformly from 30 m/s to rest in 5 s. Calculate its deceleration.

[2](a)A velocity-time graph shows a velocity increasing steadily from 10 m/s to 20 m/s over 4 s. Calculate the distance travelled, using the area under the graph.

[1](a)Two cars approach each other on a straight road, one at 20 m/s and the other at 15 m/s. Calculate their speed of approach relative to each other.

[2](a)Explain the difference between average speed and instantaneous speed, giving an example of when they would differ.