AP® Calculus AB-BC

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Moderate

Antidifferentiation: Distance Traveled

APCALC-4E3RJU

A truck, moving along the highway, passes a truck stop at time $t=0$, where $t$ is measured in hours.

If the truck's initial velocity is $65\text{ mi/hr}$ and it starts to slowly decelerate at a constant rate of $-10\text{ mi/hr}^2$, which of the following could represent the truck's distance from the truck stop, $s(t)$, over the given time period, $0\le t\le 5$?

A

$-10t$

B

$-10t+65$

C

$-5{ t }^{ 2 }+65$

D

$-5{ t }^{ 2 }+65t$