The acceleration of a particle is defined by a=e^(k(t^2)).its velocity is 2m/s at time=3s.Determine the value of k and velocity after 5s starting from rest.

Answer 1

When t = 0, a = 0
You need an initial velocity to solve for k using the velocity at t=3.

You also need to integrate a(t) to get V(t). The integral will have two arbitary constants: V(0) and k.