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A 9.8 kg cannonball was fired from a cannon straight up with an initial velocity of...

A 9.8 kg cannonball was fired from a cannon straight up with an initial velocity of 42 m/s.

(A) Assuming that all its initial kinetic energy was transformed into gravitational energy, what is the maximum height that the cannonball could reach?

(B) Suppose that 20% of its initial kinetic energy was lost due to friction with the air (air resistance). What is the maximum height that the cannonball could now reach?

(C) How long will it take, after the cannon fires, for the cannon to be destroyed by the cannon ball?

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