Question

a. The position of a particle is given by x(t) = t3 - 3t2 - 96 +1. For what values oft is the particle at rest?

Answer 1

Answer:

 t = 0 and t = 2

Step-by-step explanation:

It is at rest when the velocity = 0

The velocity is the 1st derivative

So, x'(t) = 3t^2 - 6t = 0

                3t(t - 2) = 0

                  t = 0 and t = 2