A particle moves along a line so that its displacement after seconds is metres.

MATHEMATICS · Multi-part · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A particle moves along a line so that its displacement after

t

seconds is

s(t)=(t^{2}+2t)^{3/2}

metres. (i) Find its velocity

v(t)

. (ii) Find its acceleration when

t=1

\,s.