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+4

meters for

0\le t\le4

. Determine the subinterval(s) of

0\le t\le4

on which the particle is speeding up.