Question

if the initial speed of a particle is u and its acceleration is given as a is equals to At3 where A is constant and t is time then its speed we will be given as​

Answer 1

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

Now on sq

V=u+at^4/4

HOPE IT HELPS U^_^

Answer 2

if the initial speed of a particle is u and its acceleration is given as a is equals to At3 where A is constant and t is time then its speed we will be given as?

=> u + At^4 / 4