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# Acceleration from Velocity: Polynomial Function

APPHMC-W6N19W

A motorized toy car is moving in one dimension, with a velocity $v(t)= 2{ t }^{ 2 }-7t-5$. The velocity is in $m/s$, when $t$ is measured in seconds.

Determine the car's acceleration at $t=5.0\text{ }s$.

A

$8.0\text{ } m/s^2$

B

$10\text{ } m/s^2$

C

$13\text{ } m/s^2$

D

$20 \text{ }m/s^2$

E

$54\text{ } m/s^2$