3. The position vector for a particle in space is given as R(t) = (2 cos...

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3. The position vector for a particle in space is given as R(t) = (2 cos t)i + tJ+(2sin t)k. Find particle's velocity and acceleration vectors and find the speed and and direction of motion at t = /2 (10 pt) 3. The position vector for a particle in space is given as R(t) = (2 cos t)i + tJ+(2sin t)k. Find particle's velocity and acceleration vectors and find the speed and and direction of motion at t = /2 (10 pt)