- #1
sinisterguy
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Homework Statement
http://img229.imageshack.us/img229/7987/scanik8.jpg
the ball rolls at a constant speed, fast enough to travel straight off the ledge and eventually lands on the inclined plane. The task is to derive an equation for d as a function of v (the initial horizontal speed of the ball) and theta.
2. The attempt at a solution
I started by trying to find y by using [tex]\Delta d_{y}= 1/2g \Delta t^2[/tex]
then I moved on to x which is simply [tex]v \Delta t[/tex]
I also know that [tex]\Theta = tan^{-1} (\frac{1/2 g \Delta t^2}{v \Delta t})[/tex]
this is all great, but i wasn't quite sure how to get rid of the t
after some more fiddling i also found that [tex]\Delta t = \frac{d cos \Theta}{v}[/tex], but along that same train of thought, if [tex]d = \sqrt{x^2 + y^2}[/tex] and [tex]x = d cos \Theta[/tex] then that wouldn't work.
my teacher told me i wasn't on the right track so i started over, but i haven't gotten anywhere with that. some help to point me in the right direction would be great
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