A particle’s position is described by s(t)= cases 2t^ 2 -3t, & 0 t 3, -t^ 2 +12t-15,…

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A particle’s position is described by

s(t)=\begin{cases} 2t^{2}-3t, & 0\le t\le 3,\\ -t^{2}+12t-15, & 3<t\le 6. \end{cases}

Determine the particle’s velocity at

t=4

. (a)

5

(b)

13

(c)

4

(d)

-4