Constant acceleration (suvat) equationsEdexcel A-Level Maths: Mind map

Exam questions on Constant acceleration (suvat) equations

1. A ball is thrown vertically upwards from ground level with speed $14$ m s$^{-1}$. The ball is modelled as a particle moving freely under gravity, with $g=9.8$ m s$^{-2}$ and upwards taken as positive.
   Find the speed of the ball 1.5 s after it is thrown, and state whether it is moving upwards or downwards.2 marks
2. A car brakes with constant deceleration from a speed of $30$ m s$^{-1}$ and comes to rest after travelling 90 m in a straight line.
   Find the distance the car travels in the first 2 s of braking.2 marks
3. A particle moves in a straight line with constant acceleration $a$ m s$^{-2}$. At $t=0$ its velocity is $u$ m s$^{-1}$. At time $t$ seconds its velocity is $v$ m s$^{-1}$ and its displacement from its starting point is $s$ metres.
   Using the fact that the area under a velocity--time graph is the displacement, show that $s=ut+\frac12at^2$.3 marks