How Do You Calculate the Maximum Height of an Inclined Plane?

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To calculate the maximum height of an inclined plane, it's crucial to properly understand the relationship between acceleration and velocity, as acceleration is defined as the rate of change of velocity. The initial problem statement contained inaccuracies in the equations used, particularly with the expression v/t=a. A diagram is essential for visualizing the problem and ensuring correct trigonometric applications. For further assistance, posting in the introductory physics forum may yield more responses. Clarifying calculations and drawing diagrams will enhance understanding of the topic.
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1. The problem statement, all variables and
 
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v/t=a isn't right, acceleration is given by the rate of change of velocity ie dv/dt = a, so you can't solve for time in that manner, since the velocity will be changing.

In addition, something has gone wrong with your trigonometry, I think. Have you drawn a diagram?

In future, you might have more help posting this in the introductory physics forum, since it's at that level, and more people read it.
 
I have drawn a diagram. Thank you, I will look over my calculations
 

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