Mathematics

Mathematics

Problem

The displacement ss (in metres) of a particle moving along a straight line after tt seconds is given by s(t)=4+2t−0.5t3.s(t)=4+2t-0.5t^{3}. (a) Find the expression for the instantaneous velocity v(t)v(t). (b) Determine the time(s) when the particle comes to instantaneous rest. (c) Calculate the displacement of the particle at the time found in part (b).

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