For a body in linear motion

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

Problem

For a body in linear motion, the position at time

t

seconds is

s(t)=5\sin(2t)+4

metres. (a) Find the average velocity of the body on the interval

0\le t\le \dfrac{\pi}{4}

. (b) Determine the instantaneous velocity at

t=\dfrac{\pi}{4}

and state which of the two velocities is greater in magnitude.