Finding R in terms of h for a ball dropped at v with 2D motion?

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To find R in terms of h for a ball dropped with an initial velocity v, Newton's second law is essential. The user references a formula R = (v*2sin(theta))/g, but questions its applicability since it pertains to projectile motion and does not incorporate height h. The discussion emphasizes the need to derive the relationship using two-dimensional motion principles. Clarification on how to integrate height into the calculations is sought. Understanding the connection between initial velocity, height, and range is crucial for solving the problem accurately.
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Homework Statement


here's a picture of what the case is :

http://img67.imageshack.us/img67/6425/imagevn8.png"

if I drop a ball with the initial velocity is v at h. How do I find R here in terms of h?

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The Attempt at a Solution

 
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Forums rules state you have to atleast attempt the problem. I'll give you a hint though, you only need Newtons second law to solve this problem.
 
well, I found a rule in the textbook where R = (v*2sin(theta))/g, but I wasn't really sure if this works as it's for projectile cases and it doesn't show anything about h. I need to find the equation using the two dimensional rules formulas.
 
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