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A 480-lb object is launched from the ground with an initial upward velocity of 70 ft/sec....

A 480-lb object is launched from the ground with an initial upward velocity of 70 ft/sec. The atmosphere resists the motion of the object with a force of 5 lb for each ft/sec of speed. Assuming that the only other force acting on the object is gravity, find the time it takes for the object to reach its maximum height:

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