Compute the acceleration of falcon at given time

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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?

Reference no: EM131013555

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