Max Height of Ball: Can it be Determined?

AI Thread Summary
The discussion centers on determining the maximum height a baseball reached after being hit, given its speed and height when caught. The official answer states that the maximum height cannot be determined due to the lack of information about the angle of the ball's trajectory. Participants note that while mechanical energy principles apply, the horizontal velocity component complicates the calculation. The conversation emphasizes the importance of understanding both vertical and horizontal motion in projectile dynamics. Ultimately, without the angle, the maximum height remains indeterminate.
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Homework Statement



A batter at a baseball game hit a ball such that it flew into the stands. The ball was caught by a fan when it was moving at 10 m/s at a height 20 m above the height it was hit. What was the maximum height to which the ball rose before falling back down towards the fan?

2. The attempt at a solution

The official answer is "The maximum height cannot be determined. "
I thought it could be determined by noting that the total mechanical energy is the same at the max height, 0 m/s equaled the energy at 20 m, 10 m/s.
What am I missing?
 
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No, the velocity at the top is not 0 m/s, that is only the vertical part of the velocity, the horizontal part is a constant and we don't know any angle here so we can't distinguish the two.
 
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