The initial velocity of a particle is u

Asked by admin @ 26/08/2021 in Physics viewed by 269 People

The initial velocity of a particle is given by u (at t=0) and the acceleration by f , where f=at(where t is time and a is constant). Which of the following relations is valid (a)v=u+at^2 (b)v=u+(at^2)/2 (c)v=u+at (d)v=u

Answered by admin @ 26/08/2021

Given:
f=at
Where a is constant and time is t
f= dV/dt=at
Integrate on both sides.
Limits of velocity:
Initial velocity =u
Final velocity=V
Time initial=0
Final time=t
On integrating:
dV/dt=at

We get
V-u= 1/2 at^2
V=u+1/2at^2
So correct option is b

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