Question: A model rocket is launched with an initial velocity of 150 ft/sec from a height of 40 ft. The function s(t) = -16t2 + 150t

A model rocket is launched with an initial velocity of 150 ft/sec from a height of 40 ft. The function s(t) = -16t2 + 150t + 40 gives the height of the rocket, in feet, t seconds after it has been launched. Determine the time at which the rocket reaches its maximum height and find the maximum height.

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