Question: In Exercises use the position function s(t)= -16t + v o t + s o for free-falling objects. A ball is thrown straight down from

In Exercises use the position function s(t)= -16t² + vot + so for free-falling objects.

A ball is thrown straight down from the top of a 600-foot building with an initial velocity of -30 feet per second.

(a) Determine the position and velocity functions for the ball.

(b) Determine the average velocity on the interval [1, 3].

(c) Find the instantaneous velocities when t = 1 and t = 3.

(d) Find the time required for the ball to reach ground level.

(e) Find the velocity of the ball at impact.

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