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AP® Calculus AB-BC

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Midpoint Approximation: Displacement of a Particle

APCALC-GHBSE8

The velocity, $v$ (in meters per second), of a particle for various times, $t$ (in seconds), is provided in the table below.

$t$ 2 4 6 8 10
$v$ 10 11 9 7 5



Estimate the displacement of the particle on the interval $2\le t \le 10$. Use a midpoint approximation with two equal partitions for your calculation.

A

$74\text{ m}$

B

$72\text{ m}$

C

$69\text{ m}$

D

$64\text{ m}$