An object moves along a line with position (meters)

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

An object moves along a line with position

s(t) = t^{3} - 6t^{2} + 9t

(meters), where

t

is in seconds. Determine all times in the interval

0 \le t \le 5

at which the object changes direction.