1.18: Distance when a particle is instantaneously at rest

4PM1/2/November/2020 — Question 1 · 4 marks

A particle P\displaystyle P is moving in a straight line. At time t\displaystyle t seconds, t0\displaystyle t\geq0, the displacement, s\displaystyle s metres, of P\displaystyle P from a fixed point O\displaystyle O of the line is given by
s=3+8t+t213t3.s=3+8t+t^2-\frac13t^3.
Find the distance of P\displaystyle P from O\displaystyle O when P\displaystyle P is instantaneously at rest.
(4)