Calculus

An aircraft is flying level at an altitude h = 4000 ft and a constant speed of 450 fu/sec . It releases a bomb. A cannon is situated on the ground at a distance d = 5000 ft behind the plane, from where the bomb was released. 4 seconds after the bomb was released, the cannon fires a projectile with a h muzzle velocity of V = 1600 ft/sec to V intercept the bomb. Assume no air resistance. k d What is the elevation angle 0 that the project must be fired at to successfully intercept the bomb. You may numerically approximate the angle 0 but all details must be provided . Determine the position of the interception. . Provide the graph of both the bomb and the projectile trajectories to visually confirm your finding