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Question : Tiffany a model rocket enthusiast. She has been working a : 80488

Tiffany is a model rocket enthusiast. She has been working on a pressurized rocket filled with laughing gas. According to her design, if the atmospheric pressure exerted on the rocket is less than 10 pounds/sq.in., the laughing gas chamber inside the rocket will explode. Tiffany worked from a formula p = (14.5)e^-h/10 pounds/sq.in. for the atmospheric pressure h miles above sea level. Assume that the rocket is launched at an angle of a above level ground at sea level with an initial speed of 1200 feet/sec. Also, assume the height (in feet) of the rocket at time t seconds is given by the equation y(t) = -16t^2 + 1200 sin(alpha)t. At what altitude will the rocket explode? () If the angle of launch is alpha = 16 degree, determine the minimum atmospheric pressure exerted on the rocket during its flight. () Will the rocket explode in midair? Yes No If the angle of launch is alpha = 75 degree, determine the minimum atmospheric pressure exerted on the rocket during its flight. () Will the rocket explode in midair? Yes NO Find the largest launch angle a so that the rocket will not explode. (Round your answer to the nearest whole number.)