A plane, diving with constant speed at an angle of 50.0° with the vertical, releases a projectile at an altitude of 830 m. The projectile hits the ground 6.00 s after release. (Assume a coordinate system in which the airplane is moving in the positive horizontal direction, and in the negative vertical direction. Neglect air resistance.)
(a) What is the speed of the aircraft?
(b) How far did the projectile travel horizontally during its flight?
(c) What were the horizontal and vertical components of its velocity just before striking the ground?