Solve 2D Motion Problem: Ball Hitting Canyon Edge

AI Thread Summary
A ball with an initial velocity of 10 m/s is projected off the edge of a canyon defined by the equation y^2=16x. The goal is to find the coordinates where the ball impacts the canyon. The user attempted to express the ball's motion as a function of x for y but struggled with the math. It was suggested to solve the canyon equation for y, yielding y=4√x and y=-4√x, and to plot these curves for better visualization. The discussion emphasizes the importance of correctly setting up equations to solve the problem effectively.
mewmew
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Ok, in this problem a ball with velocity 10m/s flys off the horizontal edge of a canyon, the equation for the canyon is y^2=16x and it wants you to find the x,y cordinates where the ball hits it. I turned the balls motion into a a function of x for y and then set that equal to y=Sqrt(16x) but I can't solve it. It is an easy problem the book says but I can't do the math, or perhaps its my method, to figure it out. Thanks a lot for any help.
 
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If you solve y^2=16x for y, you get y=4*Sqrt[x] and y=-4*Sqrt[x].

Plot the two curves and decide for yourself which one looks like a canyon. I think you should be able to solve it then.
 
Thanks, I am really dumb and was doing my equations wrong :)
 
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