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5. (5pts) A ball is thrown vertically into the air from the ground level with an initial velocity of 15m/s. It's height at time t

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5. (5pts) A ball is thrown vertically into the air from the ground level with an initial velocity of 15m/s. It's height at time t is h(t) = 15t - 5t2. The average velocity on the interval [0,2] is 5m/s. According to the Mean Value theorem, since h is continuous and differentiable there is a value of c in [0,2] where the instantaneous velocity equals the average velocity. Find that value of c. Show all work

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