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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

$40\text{ m}$

B

$10\text{ m}$

C

$2\text{ m}$

D

$1\text{ m}$

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