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A particle moves along a straight line such that its displacement s metres from a given point is #S=t^3 -5t^2 +3t +4# where t is time in seconds. Find: a).The displacement of the particle at t =5 seconds.
b).The velocity of the particle when t =5 seconds.
c) The values of t when the particle is momentarily at rest. d).The acceleration of the particle when t=2 seconds.