Question: 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

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 the ball takes 3 s to reach the bottom of the lake, determine a.) The depth of the lake b.) The speed of the ball when it hits the bottom of the lake.

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To solve this problem we need to consider the movement of the ball both in terms of kinematic equations and differential equations due to the variable ... View full answer

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