Calculating the Length of an Incline Plane: A Kinematic Approach

AI Thread Summary
To calculate the length of an inclined plane where a skier starts at a 15-degree angle and reaches a speed of 15 m/s, the skier's motion can be analyzed using kinematic equations. The discussion emphasizes breaking down the skier's velocity into components using sine and cosine functions, but highlights the need for proper kinematic equations to solve for both the length of the hill and the time taken to reach the bottom. The Pythagorean theorem is mentioned as a potential method for finding the slope length, but clarification on the application of kinematic equations is necessary. Participants stress the importance of posting detailed steps in calculations rather than vague descriptions. Accurate application of physics principles is crucial for solving the problem correctly.
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Homework Statement


a skier starts on a hills inclined 15 degrees and the speed of the skier on the bottom of the hill is 15m/s
what is the length of the hill? and how long did it take to reach the end of the hill


Homework Equations


gsintheta , a^2+b^2 + c^2
sin=o/h


The Attempt at a Solution


i broke down the vector to components 15sintheta and 15cos theta and use pythagorean thereoum to find the slope ..would that then be the length of the hill? I am not sure how to solve to dind the time to reach the end of the hill. ...
 
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You must post your actual steps, not just a rough verbal description. Anyway, it doesn't sound right. You need to be using kinematic equations relating constant acceleration, time, and initial and final speeds. What equations can you quote like that?
 
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