According to NCAA rules, in the sport of field hockey, a player's swing (whether it's a backswing or a follow-through) should not be raised above "hip-height." If the swing exceeds the height of a player's hip the swing is considered "dangerous," and possession will be turned over to the opposing team. Is this rule preventing players from shooting the ball as hard as they can? Should the rules of NCAA field hockey be changed in order to allow for players to shoot the ball with the maximum force that they can, or does the height of a player's back swing not matter in the speed at which the ball travels after it is shot?
The mass of a field hockey stick (M) = 0.535 kg
The mass of a field hockey ball (m) = 0.163 kg
Let the hip height of a field hockey player (h1) = 0.75 m
Non-conservative forces such as air resistance are ignored in the calculations.
The field hockey stick can be treated as a pendulum (this ignores the force that the field hockey player is putting on the stick).
If the field hockey stick is treated as a pendulum, then a backswing beginning from a height that is higher from hip height, then the field hockey stick will hit a ball with a higher velocity than if it is swung from hip height, therefore, if field hockey players were to be allowed to swing from heights higher than that of their hips, then they would be able to hit the ball much harder. Even though a higher swing is more dangerous, NCAA rules should change to allow for field hockey players to be able to swing at heights higher than their hips in order to allow them to hit the ball harder and be a more competitive player on the field.
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