Projectile motion of a bullet question

AI Thread Summary
In the scenario, a hunter shoots at a monkey that drops from a branch at the moment the gun is fired. The equations of motion indicate that both the bullet and the monkey will fall under the influence of gravity, with the bullet following a parabolic trajectory. By calculating the vertical positions of both the bullet and the monkey over time, it can be shown that they will meet at the same height if the bullet is aimed directly at the monkey's initial position. The conclusion is that the monkey's attempt to evade the bullet by dropping is ineffective, as both will fall together. This illustrates the principles of projectile motion and gravity's uniform effect on both objects.
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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.
 
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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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