A particle is moving in a straight line with initial velocity u and uniform acceleration f. if the sum of the distances travelled in t and t+1 seconds is 100 cm, then its velocity after t seconds in cm/s is ?

please answer in detail

1 Answer
Aug 2, 2017

The velocity is =(100-1/2f) cms^-1

Explanation:

We apply the equation of motion

s=vt+1/2at^2

Deltas=vDeltat+1/2a(Deltat)^2

The velocity after ts is =vcms^-1

Deltat=t+1-t=1s

The acceleration is a=f cms^-2

The distance is Deltas=100cm

Therefore,

100=(vxx1)+(1/2xxfxx1)

v=(100-1/2f) cms^-1