A batter hits two identical baseballs with the same initial speed and from the same initial height but at different initial angles. Prove that both balls have the same speed at any height h if air resistance can be ignored.

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A batter hits two identical baseballs with the same initial speed and
from the same initial height but at different initial angles. Prove that
both balls have the same speed at any height h if air resistance can be
ignored.

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