Question

A body starts from rest, travels a certain distance in time, t with constant acceleration. How much will it take to travel last 1/4th of distance in terms of t.

Answer 1

Let the total distance be 'x'
We need to find the time taken to travel the last 1/4th of the distance of x that is x/4
And we also have a constant acceleration 'a'
initial velocity= 0
distance = x/4
acceleration = a
time = ?

t^2 = [2(x/4 - 0×t)]a
t^2 = x/2a
t = √x/2a

That's our answer