A particle moves along the -axis with acceleration a(t)= cases 3,&0 t 1, -2,&1< t 4

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

Problem

A particle moves along the

x

-axis with acceleration

a(t)=\begin{cases} 3,&0\le t\le 1,\\ -2,&1< t\le 4. \end{cases}

If its velocity at

t=0

5\text{ m/s}

, what is its velocity at

t=4\text{ s}

? (a)

6

(b)

14

(c)

2

(d)

8