A person standing on the roof of a building throws a ball directly upward. The ball misses...

A person standing on the roof of a building throws a ball directly upward. The ball misses the rooftop on its way down and eventually strikes the ground. The function

describes the ball’s height above the ground, s(t), in feet, t seconds after it was thrown.

a. Find the ball’s average velocity between the time it was thrown and 2 seconds later.

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b. Find the ball’s average velocity between 2 and 4 seconds after it was thrown.

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c. What do the signs in your answers to parts (a) and (b) mean in terms of the direction of the ball’s motion?