Projectile Motion - A classical mechanics problem

AI Thread Summary
The discussion revolves around analyzing the projectile motion of Morpheus and Neo from the Matrix, focusing on their jump and fall times. Morpheus completes his jump in 4 seconds, while Neo takes 7 seconds to fall, with both jumps assumed to be at a 45-degree angle. The key question is determining the height of the buildings and the distance between them, given that Neo falls at the midpoint of the distance. Participants express confusion over whether to assume equal velocities for both characters or to consider the differences in their initial velocities due to the varying jump and fall times. The consensus leans towards recognizing that the initial velocities must differ to account for the time disparity in their motions.
Erkan Tur
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In Matrix, Morpheus shows how to jump. He jumps easily, but Neo falls in his first jump.
Morpheus’ jump takes 4 s and Neo’s fall takes 7 s.
Distance between the buildings as L and height as h and consider that Neo falls at the middle of the distances, L/2.
If both 1 of them know a bit of physics, they would jump with 45◦ , what is the height of the buildings and the distance between them? (Both building has same height)
Neo’s jump video:

I am a bit confused how to solve this problem, should I take their velocities as same? Or should I think only think about the Neo's projectile angle is higher than 45 degrees to the ground?
 
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According to the problem, both jump at 45 degrees. So the difference must be their initial velocities.
 
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