Given the same initial velocity, at what other angle should a ball be hit to reach the same distance if it is being shot at an angle of 30° and it reaches a distance of 50 m?
Question
Given the same initial velocity, at what other angle should a ball be hit to reach the same distance if it is being shot at an angle of 30° and it reaches a distance of 50 m?
Solution
The problem is based on the physics concept of projectile motion. The maximum range of a projectile is achieved at an angle of 45°. However, for any given initial velocity, there are always two angles that provide the same range (except for 45°). These two angles always add up to 90°.
So, if a ball is shot at an angle of 30° and reaches a certain distance, the other angle that would give the same distance (with the same initial velocity) would be 90° - 30° = 60°.
Therefore, the ball should be hit at an angle of 60° to reach the same distance of 50 m, given the same initial velocity.
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