The position of a particle moving along a line is

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

Problem

s(t)=3t^{3}-12t^{2}+9t+5

, where

s

is in kilometers and

t

in hours. (1) Compute the particle’s average velocity on the interval

1\le t\le3

hours. (2) Compute its instantaneous velocity at

t=3

hours. State both answers in kilometers per hour.