MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions
Problem
An object is dropped from the top of a cliff. The distance it has travelled when it has speed S is D(S)=19.6S2 metres. Its speed after t seconds is given by S(t)=9.8t m s-1.
(1) Find the composite function D∘S , and explain what it means.
(2) Find and interpret (D∘S)(5) .