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In archery, should the arrow be aimed directly at the target? How should your angle of aim depend on the distance to the target?

I know the answer is no but I don't know how to prove that.

  • physics -

    If you aim directly at a target, the arrow will fall below the target becasue it must fall while travelling to the target.

    Aiming the arrow slightly upwards, by an angle that increases with target distance,is necessary to compensate for the effect of gravity on the arrow.

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