Question

A vehicle accelerates in a straight line from rest at the rate of 2.0m/s².How lonh does it tke the vehicle to travel 100m

Answer 1

Answer:

The vehicle will take 10 sec to travel a distance of 100m

Explanation:

We are given

initial velocity is 0 as body comes to rest

acceleration is 2.0m/s²

distance is 100m

We have to find time so first of all we will have to find the final velocity using third equation of motion

$2aS=vf^{2} -vi^{2}$

$2*2*100=vf^{2} -0\\400=vf^{2} \\\sqrt{400} =vf\\20=vf$

Now knowing vf we van calculate time

$vf=vi+at\\20=0+2*t\\20/2=t\\10s=t$

I hope it will help you