Projectile motion of a bullet question

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SUMMARY

The discussion centers on the physics problem involving projectile motion, specifically analyzing the scenario where a hunter shoots at a monkey that drops from a tree branch. The equations used include the bullet's motion described by d = V1t + 1/2(at^2) and the vertical motion of the monkey as dmonkey = -4.9t^2. The conclusion drawn is that if the bullet's vertical position matches that of the monkey at the same time, the monkey's attempt to evade the bullet is futile. The analytical approach confirms that both the bullet and the monkey will fall the same vertical distance due to gravity, resulting in a collision.

PREREQUISITES
  • Understanding of basic physics concepts, particularly projectile motion.
  • Familiarity with kinematic equations, specifically d = V1t + 1/2(at^2).
  • Knowledge of vertical and horizontal components of motion.
  • Ability to manipulate and solve algebraic equations involving time and distance.
NEXT STEPS
  • Study the derivation of kinematic equations in physics.
  • Learn about the effects of gravity on projectile motion.
  • Explore the concept of relative motion in physics.
  • Investigate real-world applications of projectile motion in hunting and sports.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of projectile motion and its real-life implications, particularly in scenarios involving aim and evasion.

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Homework Statement


A hunter aims his gun at a monkey hanging from a high tree branch some distance away. At the instant the gun is shot the monkey drops from the branch, hoping to avoid the bullet. Assume there is no air resistance. Show analytically, using variables, that the monkey made the wrong move.

Homework Equations


d=V1t+1/2(a)t^2
Vvertical=V*sin(theta)

The Attempt at a Solution


dbullet=vbullet-4.9t^2
dmonkey=-4.9t^2

dmonkey=dbullet-vbullet

after this attempt I really have no idea what to do. I also subbed in made up values the speed and angle of the bullet to find vertical components but it was ineffective. Any help would be much appreciated.
 
Physics news on Phys.org
Calculate the height above the ground of the bullet with time, do the same for the monkey - if these are the same then that's probably bad news for the monkey.
 

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