The position of a particle is given by meters for

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

Problem

The position of a particle is given by

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

meters for

0\le t\le 4

. (a) State the open time intervals on which the particle is moving to the left. (b) Find the maximum speed (in m/s) attained on

[0,4]