Projectile Motion Jumping Man Problem

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SUMMARY

The discussion centers on solving the Projectile Motion Jumping Man Problem, where a stunt man jumps from a building 4.4 meters away at a 15° angle with an initial speed of 5.0 m/s. The key equations utilized include horizontal velocity (vx = vi cos θ) and vertical displacement (delta y = vix * delta t + (1/2)g(delta t)^2). The calculated horizontal velocity is approximately 4.83 m/s, leading to a time of 0.911 seconds to reach the other building. The next step involves using this time to determine the vertical displacement to assess if the stunt man successfully lands on the lower building, which is 2.2 meters shorter.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with trigonometric functions (sine and cosine)
  • Knowledge of kinematic equations
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate vertical displacement using delta y = vix * delta t + (1/2)g(delta t)^2
  • Explore the effects of varying launch angles on projectile distance
  • Study the impact of initial velocity on projectile motion
  • Learn about air resistance and its effects on real-world projectile motion
USEFUL FOR

This discussion is beneficial for physics students, educators teaching projectile motion, and anyone interested in applying kinematic equations to real-world scenarios, particularly in stunt coordination and safety assessments.

dj0320
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Homework Statement



In a scene in an action movie, a stunt man jumps from the top of one building to the top of another building 4.4 m away. After a running start, he leaps at an angle of 15◦ with respect to the flat roof while traveling at a speed of 5.0 m/s. The acceleration of gravity is 9.81 m/s^2. To determine if he will make it to the other roof, which is 2.2 m shorter than the building from which he jumps, find his vertical displacement upon reaching the front edge of the lower building with respect to the taller building. Answer in units of m.

Homework Equations


vx = vi cos theta
viy = vi sin theta
delta x = vx*delta t
delta y = vix*delta t + (1/2)g(delta t)^2
I'm not sure which ones to use.


The Attempt at a Solution


vix = vi cos theta = 5 cos 15 = 4.8296
delta x = 4.4 (given)
4.4/4.8296 = time = .911

Then I'm stuck here.
 
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Take the time you found, .911 seconds and plug it into your equation for vertical distance and see where the stunt guy is?
 

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