Question

19. The initial velocity of a particle is u (at t = 0) and
the acceleration a is given by atl2. Which of the
following relations is valid?
3at
(1) v = u + at^3/2
(2) v =u+3at^3/2
(3) V = u+2/5at^5/2
(4) v = u + at^5/2
​

Answer 1

Answer:

Explanation:

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