A particle’s displacement from the origin at time seconds is metres.

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

Problem

A particle’s displacement from the origin at time

t

seconds is

s(t)=8\cos 3t

metres. (i) Find the first positive time

t

when the particle is momentarily at rest. (ii) Compute the acceleration of the particle at that instant.