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AP® Calculus AB-BC

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A Dropped Ball

APCALC-LH2XZE

A ball is dropped from a certain height. The ball experiences air resistance proportional to its velocity for a net acceleration of $\left( 10-v \right) \frac {\text{ meters} }{ { \text{sec} }^{ 2 } } $ , downwards. Approximately how many meters has the ball traveled when its speed reaches $5\ \frac { \text{meters} }{ { \text{sec} } } $?

A

$ 4\text{ m}$

B

$ 5\text{ m}$

C

$ 2\text{ m}$

D

$ 1\text{ m}$