Problem : A body moves from rest with uniform acceleration and travels 270 metre in 3 seconds. Find the velocity of the body at 10 seconds after the start.

Initial velocity (u)= 0

Distance(s) = 270m

Time taken (t)=3s

final velocity after 10 s (v_{10})= ?

First we will calculate acceleration.

We know

s = ut + 1/2 a. t^{2}

or 270 = 0 . 3 + 1/2 . a. (3)^{2}

Or a= (270 . 2) / 9

Or a= 60 m/s^{2}

Again We know that:

a = (v - u ) / t

Or 60 = (v - 0 )/ 10

Or v = 60 . 10

∴ v = 600 m/s__Answer__

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