Hunter diring at a monkey hanging from a vine.

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SUMMARY

The discussion centers on a physics problem involving a hunter firing a dartgun at a monkey that drops from a vine. Key calculations include determining the x and y components of the initial velocity (Vo) of the dart, and the horizontal (Xdart) and vertical (Ymonkey) displacements of both the dart and the monkey over time (t). The critical condition for the dart to hit the monkey is established as tan(theta) = h/d, where theta is the angle of projection, h is the height, and d is the horizontal distance. This relationship highlights the importance of angle and distance in projectile motion scenarios.

PREREQUISITES
  • Understanding of kinematics equations for constant acceleration
  • Basic knowledge of projectile motion principles
  • Familiarity with trigonometric functions, specifically tangent
  • Ability to perform vector decomposition of velocity
NEXT STEPS
  • Study the four equations of kinematics for constant acceleration in detail
  • Learn about projectile motion and its applications in real-world scenarios
  • Explore vector decomposition techniques for analyzing motion
  • Investigate the role of air resistance in projectile motion and its effects
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Students studying physics, particularly those focusing on kinematics and projectile motion, as well as educators looking for practical examples to illustrate these concepts.

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Homework Statement


A hunter fires a dartgun with a harmless sedative at a monkey hanging from a vine a distance h vertically above the dartgun and a distance d horizontally away from the dartgun. The hunter aims directly at the monkey and fires with an inital velocity Vo at an angle theta above the x axis. But just as the hunter fires, the monket drops from the vine. Assume zero air resistance. a)find the x and y components of the initial velocity of the dart. b) find the horizontal displacement, Xdart, and vertical displacement, Ymonkey, of the monket after a time t. c) find the horizontal displacement, Xmonkey, and vertical displacement, Ymonkey, of the monkey after a time t. d)find that the condition needed for the dart to hit the monkey is tan theta = h/d e)what can be inferred from (d)?

Homework Equations


The four equations of kinematics for constant acceleration:
1.) V=Vo+at
2.) X=1/2(Vo+V)t
3.) X=volt+1/2at^2
4.) lVl^2= lVol^2 +2a times X


The Attempt at a Solution


I do not know how to even start this problem off, I am so confused! I need to have this done by Monday morning so any help would be greatly appreciated.
 
Last edited:
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What about the equations for projectile motion.
 
I added the equations to the original post now.
 

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