Equations of uniformly accelerated motion

A child on a scooter starts from rest and accelerates uniformly at 2 m/s² over a distance of 8 m. Calculate the speed she is travelling at the end of the 8 m.

A physics student says: “If an object travels with constant acceleration, you can always use the equation to solve for any one of the variables.” Explain one limitation of this equation in solving real-life motion problems.

A skateboarder moves in a straight line. She starts at 3 m/s and accelerates uniformly at 1.5 m/s² for 4 m.

Describe what is meant by ‘initial speed’ and ‘final speed’ in the equation .

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.