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