Suppose that a motorboat is moving at 40 ft/s when its motor suddenly quits and that 10 seconds later the boat has slowed to 20 ft/s. Assume that the water-resistance the boat encounters is proportional to its velocity. Find the formulas for the velocity v(t) and the location y(t). How far will the boat coast in all?
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Suppose that a motorboat is moving at 40 ft/s when its motor suddenly quits and that 10 seconds later the boat has slowed to 20 ft/s. Assume that the water-resistance the boat encounters is proportional to its velocity. Find the formulas for the velocity v(t) and the location y(t). How far will the boat coast in all?
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