A ball is tossed into the air from a bridge, and its height, y (in feet), above the

Chapter 2, Problem 24

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A ball is tossed into the air from a bridge, and its height, y (in feet), above the ground t seconds after it is thrown is given by y = f(t) = 16t 2 + 50t + 36. (a) How high above the ground is the bridge? (b) What is the average velocity of the ball for the first second? (c) Approximate the velocity of the ball at t = 1 second. (d) Graph f, and determine the maximum height the ball reaches. What is the velocity at the time the ball is at the peak? (e) Use the graph to decide at what time, t, the ball reaches its maximum height.

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