The velocity of a particle is given by v(t)= cases 3-t, & 0 t 3

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

Problem

The velocity of a particle is given by

v(t)=\begin{cases} 3-t, & 0\le t\le3,\\ t-4, & 3<t\le6. \end{cases}

Determine all times in

0<t<6

when the particle changes direction.