How do I use equations of motion ('suvat') to find a missing quantity?

First, be familiar with the equations of motion:s = displacementu = initial velocityv = final velocitya = acceleration (constant)t = time
v = u + ats = ((u+v)t)/2s = ut + (at^2)/2v^2 = u^2 + 2as
Second, identify which 3 values are given in the question (remember that if it's motion under gravity then a=9.8 ms^-2).
Finally, identify which equation to use and plug in the values. Pick the equation that has the 3 known values and the unknown value. Then solve the equation to find the unknown quantity.
e.g. Q) A ball is fired out of a pinball machine at 4ms^-1. After travelling 1.5m with a deceleration of 0.5ms^-2, what is it's final velocity?
A) u=4, s=1.5, a=-0.5, v=?v^2 = u^2+2asv^2 = 4^2 + 2(-0.5)(1.5)v^2 = 16 - 1.5v^2 = 14.5v = 3.81 ms^-1

JH

Related Physics GCSE answers

All answers ▸

What is the law of conservation of energy?


Jane drops a football from the roof onto the ground below. The ball weighs 0.8kg and the distance the ball falls is 5m. Assuming there are no external forces acting on the ball, what speed will the ball be travelling at just before it hits the ground?


A bat emits a sound wave with a frequency of 25.0 kHz and a wavelength of 0.0136 metres. Calculate the speed of this sound wave.


(IGCSE, Jan 2013, q8 adapted) The astronaut David Scott dropped a hammer and a feather from rest, at the same time and from the same height on the moon. The hammer and the feather landed at the same time. Why?