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Application of Newton second Law of Motion to vertical movement of a body using differential equation:...

Application of Newton second Law of Motion to vertical movement of a body using differential equation: A ball that weights 8 pounds is thrown vertically downward toward the earth form a great height with an initial velocity of 3ft/sec. As the ball falls, it equal to four times the velocity of the ball (in ft/sec).

(a) What is the velocity of the ball at the end of t seconds?

(b) How far has the ball fallen at the end of t seconds?

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