Projectile Motion - A classical mechanics problem

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SUMMARY

The discussion centers on solving a classical mechanics problem involving projectile motion, specifically comparing the jumps of Morpheus and Neo in "The Matrix." Morpheus completes his jump in 4 seconds, while Neo falls in 7 seconds. Both characters are assumed to jump at a 45-degree angle, and the problem requires calculating the height (h) of the buildings and the distance (L) between them, with Neo falling at the midpoint (L/2). The key takeaway is that the difference in their jump times indicates differing initial velocities, despite both using the same launch angle.

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  • Understanding of projectile motion principles
  • Familiarity with kinematic equations
  • Basic knowledge of angles and trigonometry
  • Ability to analyze motion under gravity
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  • Learn how to calculate the range and height of projectiles
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of projectile motion in classical mechanics.

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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