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# Mean Value Theorem Velocity

APCALC-SHWNO1

Given the position equation $x( t ) =\sin { ( t ) +2, }$ at what time(s) on $[ 0,\pi ]$ will the instantaneous velocity equal its average velocity?

A

$t=\pi$

B

$t = \cfrac {(2n+1)\cdot \pi}{2}$ where $n$ = any integer

C

$t=0$ and $\pi$

D

$t=\cfrac {\pi}{2}$