Tiffany is a model rocket enthusiast. She has been working on a pressurized rocket filled with laughing gas. According t

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Tiffany Is A Model Rocket Enthusiast She Has Been Working On A Pressurized Rocket Filled With Laughing Gas According T 1 (45.84 KiB) Viewed 14 times

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 = (14.3)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 1300 feet/sec. Also, assume the height (in feet) of the rocket at time t seconds is given by the equation y(t) = -16t² + 1300 sin(a)t. (a) At what altitude will the rocket explode? (Round your answer to two decimal places.) h = 841.583 x mi (b) If the angle of launch is a = 12°, determine the minimum atmospheric pressure exerted on the rocket during its flight. (Round your answer to two decimal places.) 1.482 * lb/in² P = Will the rocket explode in midair? Yes O No (c) If the angle of launch is a = 75°, determine the minimum atmospheric pressure exerted on the rocket during its flight. (Round your answer to two decimal places.) P = 1.482 * lb/in² Will the rocket explode in midair? Yes No (d) Find the largest launch angle a so that the rocket will not explode. (Round your answer to the nearest whole number.) a = 349 X