A water balloon launched from the roof of a buildingat time t = 0 has vertical velocity

Chapter 6, Problem 14

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A water balloon launched from the roof of a buildingat time t = 0 has vertical velocity v(t) = 32t + 40feet/sec at time t seconds, with v > 0 corresponding toupward motion.(a) If the roof of the building is 30 feet above theground, find an expression for the height of the waterballoon above the ground at time t.(b) What is the average velocity of the balloon betweent = 1.5 and t = 3 seconds?(c) A 6-foot person is standing on the ground. How fastis the water balloon falling when it strikes the personon the top of the head?

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