2. Veronica has been working on a pressurized model of a rocket filled with nitrous oxide. According to her design, if the atmospheric pressure exerted on the rocket is less than 10 pounds/sq in, the nitrous chamber inside the rocket will explode. The formula for atmospheric pressure, p, h miles above sea level is p(h) = 14.7e-/10 pounds/sq in. Assume that the rocket is launched at an angle, x, about level ground at sea level with an initial speed of 1400 feet/sec. Also, assume that the height in feet of the rocket at time t seconds is given by y(t) = -16t2 + t[1400 sin(x)] a. At what altitude will the rocket explode? b. If the angle of launch is x = 12 degrees, determine the minimum atmospheric pressure exerted on the rocket during its flight. Will the rocket explode in midair? c. Find the largest launch angle x so that the rocket will not explode