Problem 42820. jumping astronauts

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?

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62.79% Correct | 37.21% Incorrect
Last Solution submitted on Jan 20, 2026

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