4. Suppose a particle's position (in meters) at time t (in seconds) is given by p(t) = cos(t) + 1. (a) Find the particle's velocity at time t. (b) Consider the first 3 seconds, that is, 0 t 3. Find all values of t where the particle is at rest. (c) For 0 t 3, state the interval(s) on which the particle is moving forwards and the interval(s) on which the particle is moving backwards. (d) Find the particle's total distance traveled in the first 3 seconds.