A particle moves along a straight line such 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 straight line such that its displacement after

t

seconds is

s(t)=\sqrt{1+2t^{4}}

metres. (i) Find the time at which the velocity of the particle is zero. (ii) Determine the acceleration of the particle at that time.