Question

Usain bolt can run the 100 m dash in 9.58 s. what is usain's average acceleration during this sprint?

Answer 1

Assuming Usain Bolt starts from rest (so, its initial velocity is zero), and that his motion is uniformly accelerated, his position at time t is given by

`S(t) = (1)/(2)at^2`
where a is the average acceleration and t the time. In our problem, the distance covered is S=100 m and the time taken is t=9.58 s, therefore the average acceleration can be found by re-arranging the previous formula:

`a= (2S)/(t^2)= ((2)(100 m))/((9.58 s)^2)=2.18 m/s^2`