6) Suppose a stone is thrown vertically upward from the edge of a cliff. The height (in meters) of the stone above the g

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6 Suppose A Stone Is Thrown Vertically Upward From The Edge Of A Cliff The Height In Meters Of The Stone Above The G 1 (104.75 KiB) Viewed 32 times

6) Suppose a stone is thrown vertically upward from the edge of a cliff. The height (in meters) of the stone above the ground t seconds after it is thrown is s(t) = −16t² + 32t + 48. a) Determine the velocity of the stone after t seconds. b) When does the stone reach the highest point? (Use derivatives) c) What is the highest point? d) When does the stone hit the ground? e) With what velocity does it hit the ground? f) With what acceleration does it hit the ground? g) On what interval(s) is the stone speeding up? In other words, when is the speed increasing? h) Find the distance traveled by the rock from t = 0 to when it hits the ground i) Find the displacement of the rock from t = 0 to when it hits the ground.