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Height of a Rocket. A model rocket is launched with an initial velocity of 120 ft/sec from...

Height of a Rocket. A model rocket is launched with an initial velocity of 120 ft/sec from a height of 80 ft. The height of the rocket, in feet, t seconds after it has been launched is given by the function s(t)= −16t2 + 120t + 80. Determine the time at which the rocket reaches its maximum height and find the maximum height.

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