A ball is dropped from a boat so that it strikes the surface of a lake with a speed of 16.5 ft/s.  While in the water the ball experiences an acceleration of a = 10 − 0.8v, where a and v are expressed in ft/s2 and ft/s, respectively.  Knowing that the ball takes 3 s to reach the bottom of the lake, determine the speed of the ball when it hits the bottom of the lake.

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A: Detailed solution given below

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.