Forces and Motion

A cyclist slows down uniformly from 14 m/s to 8 m/s over a distance of 33 m. Calculate her acceleration.

Write down the full equation relating final speed (v), initial speed (u), acceleration (a), and distance moved (s) for uniform acceleration.

Describe how you would investigate the motion of a toy car rolling down a ramp, to see if it accelerates uniformly.

Which of the following quantities must be known to calculate the final speed using ?

A small parcel falls from rest from a hot air balloon. The balloon is at a height of 180 m above the ground. Assume the acceleration due to gravity is 10 m/s² and air resistance is negligible.

A racing cyclist travels at an initial speed of 5 m/s and accelerates at 2 m/s² along a straight track. Find the distance the cyclist covers while increasing speed to 17 m/s. Show all your working.

Which equation should you use to calculate the final speed for a car accelerating from an initial velocity u over a distance s at constant acceleration a?

A tennis ball is thrown vertically upwards with an initial speed of 18 m/s. It decelerates at 10 m/s² due to gravity until it stops momentarily at its highest point.

Explain, using the suvat equation, how you would calculate the maximum height reached by the ball.

A student investigates the motion of a toy trolley moving along a straight track. She records the following data:

A football is kicked along a flat field so it travels in a straight line from rest and comes to a stop again. Its initial velocity is 0 m/s; it accelerates uniformly to reach 12 m/s, moves at that speed for a while, then slows uniformly to rest. The acceleration and deceleration are both 4 m/s².