A person standing near the edge of a cliff 100 feet above a lake throws a rock upward

Chapter 4, Problem 67

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A person standing near the edge of a cliff 100 feet above a lake throws a rock upward with an initial speed of 32 feet per second. The height of the rock above the lake at the bottom of the cliff is a function of time and is described by a. How many seconds will it take until the rock reaches its maximum height? What is that height? b. At what time will the rock hit the water?

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