A flying vehicle is flying level at an altitude of 15000 fr over a planet. The planet has no atmosphere and it has a gravitational pull of g = 20 ft/sec . The craft releases a payload with a velocity , = 580 fu/sec at an angle 0 as shown: a) What angle 0 should the payload be released so that it can land at a range of 21800 feet from the release point? See the diagam for the geometry. b) What is the fall time of the payload? c) What is the impact speed? d) Clearly and neatly provide a plot of the trajectory () vs .x) to visually confirm your answer. Altitude Range Clearly provide the equations that you used. If you wish, you may numerically approximate the angle 0 to within 0.1 deg of the expected answer. If you choose to numerically approximate the angle, indicate the method that you have used. Note that the angle 0 can be solved manually using the appropriate trig identity