9709 P42 - Nov 2021 - Q4
3724
A cyclist starts from rest at a point A and travels along a straight road AB, coming to rest at B. The displacement of the cyclist from A at time t s after the start is s m, where
\(s = 0.004(75t^2 - t^3)\).
(a) Show that the distance AB is 250 m.
(b) Find the maximum velocity of the cyclist.
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