Solve problems relating to uniformly accelerated motion in one dimension using 𝑣 = 𝑢 + 𝑎𝑡, 𝑠 = 𝑢𝑡 + 1 2 𝑎𝑡 2 and 𝑣2 = 𝑢2 + 2𝑎𝑠.

A cyclist accelerates uniformly from rest. After 4.0 s, the cyclist has travelled 32 m. At exactly 4.0 s, the cyclist passes a stationary observer. What distance will the cyclist travel in the next 2.0 s?

A cyclist accelerates uniformly from rest. After 8.0 s the cyclist has travelled 64 m. Which equation, when applied to this motion, will yield an acceleration of 2.0 m s⁻²?

A cyclist travels along a straight road. The velocity–time graph for the first 8.0 s of the journey is shown below. What is the total distance travelled by the cyclist during this 8.0 s interval?

A cyclist accelerates uniformly from rest along a straight road. After \(8.0\) s, the cyclist reaches a velocity of \(12.0\) m s\(^{-1}\). The cyclist then maintains this constant velocity for a further \(15.0\) s before applying the brakes and decelerating uniformly to rest over a distance of \(54.0\) m. Calculate the total distance travelled by the cyclist from the initial start to coming to rest. Show your working.