Question

A runner starts from rest and accelerates at a rate of 1.5 m/s2 and covers 375 m. How long did it take the runner to cover this distance?

Answer 1

it takes him 22.36 seconds to cover that distance

Step-by-step explanation:

We can solve this problem using the kinematic equation for uniformly accelerated motion:

`x_f-x_i=v_0*t\,+\,(1)/(2) a\,*\,t^2`

which replacing the values given for our case becomes:

`375=0*t\,+\,(1)/(2) (1.5)\,t^2\\375=(1)/(2) (1.5)\,t^2`

and which solving for t gives:

`375=(1)/(2) (1.5)\,t^2\\t^2=2*375/1.5\\t^2=500\\t=√(500) \\t \approx 22.36\,\,sec`