A peregrine falcon is circling, looking for prey. The position of the falcon at time t is given by the vector-valued function r(t) = (5 sin (3t), 5 cos (3t), 9)
(a) Compute the velocity at time t.
(b) Compute the acceleration at time t.
(c) Compute the distance the falcon travels between t = 0 and t = π.
(d) At time t = π, is the falcon speeding up, slowing down, or staying constant speed?