Ball and Ramp: Solving for Time and Evaluating Position

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The discussion focuses on solving a physics problem involving a ball and ramp, specifically determining the time it takes for the ball to reach the ramp's width and evaluating its vertical position. The user is attempting to find the time t and then calculate y(t) to compare it with the ramp's height. There is acknowledgment that the user's current method seems reasonable, but it is noted that an essential component may be missing from the equation for y(t). The conversation emphasizes the importance of correctly applying the relevant equations to arrive at the right solution. Clarifying the equation for y(t) is crucial for solving the problem accurately.
atomB
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This is from a practice exam without an answer key. I tried the problem once before and am getting a different solution now. My method is solving for the time t when the x position is the width of ramp, and then evaluating y(t) to see if it is more or less than the height of the ramp.

The problem statement, relevant equations, and attempt are in the image.

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That sounds like a reasonable method - what did you do before?
 
atomB said:
2dm6zie.jpg
There is something missing from your equation for y(t)
 
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