A robot arm moves so that P travels in a circle about Point B, which is not moving. Knowing that P starts from rest, and its speed increases at a constant rate of 5 mm/s?, determine (a) the magnitude of the acceleration when t=6 s, (b) the time for the magnitude of the acceleration to be 90 mm/s?. 0.8 m B

A particle is moving in a straight line according to the position function s(1) = 1 - 612 +9t +5, 120, where s is measured in metres and t in se ɔnds. a) Find the average acceleration in the first 3 seconds. b) The particle changes direction twice. When does that happen? c) How far away, from the starting point, is the particle at 1 = 3? d) The particle brakes once. When does that happen? : e) Find the total distance travelled before braking occurs. (*

A man starts walking north at 4f t/s from a point P. Five minutes later a woman starts walking southat 5f t/s from a point 500f t due east of P. At what rate are the people moving apart 15m after the womanstarts walking.

.2) the position of a particle with respect to time is defined by:r(t) = rcos(cot )i +rsin(cot)j ,where r and w are constants.Demonstrate that the magnitude of the acceleration of the particle is constant.