Problems with finding initial velocity of an object

AI Thread Summary
To determine the minimum initial speed of the dart needed to hit the monkey before it falls 12.2 meters, the calculations show that the monkey takes 1.6 seconds to reach the ground. The horizontal distance the dart must cover is 48 meters, while it also needs to ascend to a height of 11 meters. The key equation used is x = X0 + V0t + 1/2(at^2), which relates horizontal motion to time and vertical displacement. The discussion highlights the importance of ensuring the time for the dart's horizontal travel matches the time it takes for the monkey to fall. Ultimately, understanding the relationship between the dart's trajectory and the monkey's fall is crucial for solving the problem.
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Homework Statement


In the figure below, what is the minimum initial speed of the dart if it is to hit the monkey before the monkey hits the ground, which is 12.2 m below the initial position of the monkey, if x is 48 m and h = 11 m? (Ignore any effects due to air resistance.)
Use this figure: http://imgur.com/xDVaz
From my calculations I have that it takes 1.6s for the monkey to fall 12.2m.

Homework Equations


x=X0 + V0t + 1/2(a)(t^2)

The Attempt at a Solution


Im stuck :/
 
Last edited:
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Why wouldn't the dart reach the monkey in time?
 
The time for the dart traveled horizontally distance of x = time the dart traveled up distance of h = time travelled by the monkey downward to height of h
 
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