The surface gravity on the moon is approximately 2 m/s^2. Thats why an funny astronauts feels as light as a feather and jumps from one place to the other. He starts with an initial velocity 1 m/s and an initial angle alpha (in degrees). But from time to time he gets tired and jumps only with p times the angle of the previous angle. After n jumps he stops. How far did he jump?