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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 | Sum Motion in one Dimension - Physics class 9

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 (v10)= ?

First we will calculate acceleration.
We know
s = ut + 1/2 a. t2
or 270 = 0 . 3 + 1/2 . a. (3)2
Or a= (270 . 2) / 9
Or a= 60 m/s2
Again We know that:
a = (v - u ) / t
Or 60 = (v - 0 )/ 10
Or v = 60 . 10
∴ v = 600 m/sAnswer

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