The shooter and the target are located at diametrically opposite points of a carousel of radius R = 5 m, uniformly rotating around a vertical axis. The rotation period of the carousel is T = 10 s, the bullet speed is v = 300 m/s. Neglecting the maximum linear speed of the rotating carousel wR compared to the speed of the bullet, determine approximately at what angle a to the diameter of the carousel the shooter should aim to hit the target. Consider the problem from both the point of view of a rotating and stationary system.
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