The rate of change of velocity with respect to time is called acceleration. Suppose that the velocity at time t of a particle is given by. Find the instantaneous acceleration when .

Question

The rate of change of velocity with respect to time is called

acceleration. Suppose that the velocity at time t of a particle is given

by v(t)=2t2. Find the instantaneous acceleration when t=3 seconds.

The instantaneous acceleration when t=3 seconds is _______ m/s2

Answer 1

A(t) = dV/dt = 4t

at t=3, the acceleration is a(3) = 12 m/s^2