A particle moves along a straight line with velocity feet per second for

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A particle moves along a straight line with velocity

v(t)=4t^{2}-3t-2

feet per second for

1\le t\le 3

. Determine the particle’s displacement, in feet, over this interval. (a)

\displaystyle \frac{33}{2}

(b)

\displaystyle \frac{43}{3}

(c)

\displaystyle \frac{56}{3}

(d)

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