Range an Arrow travels shot upwards towards a projectile falling due to gravity

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SUMMARY

The problem involves calculating the height at which an arrow, shot upwards with an initial velocity of 25 m/s, will collide with a melon dropped from a height of 60 meters. The equations of motion for both the arrow and the melon must be set equal to determine the point of impact. The relevant equations include the kinematic equations for uniformly accelerated motion, specifically for the arrow's upward motion and the melon’s downward free fall under gravity.

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  • Basic principles of gravity
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fazer
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Hi,

I have a quick question on a problem I can't seem to solve. Any help =)

PROBLEM

Somebody drops a melon on you from a vertical distance of 60 meters directly above your head. To save yourself, you shoot an arrow straight up at the melon at the instant the melon was released. The initial velocity of the arrow is 25 m/sec. At what height above your head will the arrow destroy the melon? (The melon's mass is 1 Kg)ATTEMPT

I tried making the equations equal to each other, but I don't know which equation is the correct one to use for this attempt. I keep getting really BIZZARE numbers
Any help is GREATLY appreciated, thanks =)
Fazer
 
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