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A ball is thrown in the air with an initial velocity of 40 ft/sec. The height of the ball, in feet, after t seconds is

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A ball is thrown in the air with an initial velocity of 40 ft/sec. The height of the ball, in feet, after t seconds is given by the function s(t) = -16t2 + 40t + 4. (a) (4 points) Determine the average velocity from t = 0 to t = 1. Include units in your answer. (Show your work.) Average Velocity on [0, 1] = (b) (4 points) Determine the equation of the velocity function. (Show your work.) v(t) = (c) (4 points) Determine the instantaneous velocity at t = 1. Include units in your answer. (Show your work.) Instantaneous Velocity at t = 1

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