1. An airplane flying horizontally at a constant speed of 200 m/s and an altitude of 500 m, drops a bomb with no initial vertical speed. Air drag is negligible.
(i) What is the speed of the bomb when it hits the ground?
(ii) Calculate the horizontal range of the bomb.
(iii) What is the distance between the airplane and the bomb when the bomb hits the ground?
2. In the figure below, the point-like object is moving along the curved trajectory in the depicted direction. At point (A) its speed is decreasing. Draw on the figure, and clearly label them, the direction of: the velocity (v), the tangent acceleration (at), the centripetal acceleration (ac).
3. In the figure below, the cannon shoots a shell with muzzle speed of 50 m/s at an angle of 60° with the horizontal direction. The shell lands on the 10 m high platform.
(i) Calculate the speed of the bomb 2 s after it was shot.
(ii) Calculate the Range (or horizontal distance) of the shell.
4. The air speed of an airplane is 200 m/s. What is its ground speed if:
(i) Tail wind is blowing at 40 m/s along the major axis of the airplane.
(ii) Front wind is blowing at an angle of 30° with the major axis of the airplane.