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suppose that a car starts from rest, with an acceleration of 10 ft/sec^2 and an air resistance provides .1 ft/sec^2 deceleration for each foot per...

suppose that a car starts from rest, with an acceleration of 10 ft/sec^2 and an air resistance provides .1 ft/sec^2 deceleration for each foot per second of the cars velocity. Find the cars maximum possible(limiting)velocity. Find how long it takes the car to attain 90% of the limiting velocity, and how far it travels while doing so.

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