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

AI Thread Summary
To solve the problem of an arrow shot upwards to intercept a falling melon, the equations of motion for both the arrow and the melon must be set equal. The melon falls from a height of 60 meters under the influence of gravity, while the arrow ascends with an initial velocity of 25 m/s. The key is to calculate the time it takes for the melon to fall and the height the arrow reaches at that time. The participant is struggling with the correct equations and is receiving unexpected results. Clarification on the equations of motion for both objects is needed to find the interception height.
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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