A particle starts at when and moves according to the velocity function v(t)= cases 3,…

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

Problem

A particle starts at

x=0

when

t=0

and moves according to the velocity function

v(t)=\begin{cases} 3, & 0\le t<2, \\ -4, & 2\le t<5, \\ 2, & 5\le t<8. \end{cases}

At what time

t

(in seconds) does the particle first reach the position

x=-2

meters? (a)

5

(b)

4

(c)

7

(d)

3