Maximizing Motorcycle Jump Height: Solving for the Optimal Speed

AI Thread Summary
To determine the maximum height a motorcycle reaches after leaving a ramp at 42.0 m/s and slowing to 39.8 m/s, one can use either kinematic equations or energy principles. The discussion emphasizes the importance of understanding the physics concepts currently being studied to choose the appropriate method. Participants encourage showing any preliminary work done on the problem to facilitate better guidance. Both approaches can yield the solution, but clarity on the concepts being covered is crucial for effective problem-solving. Engaging with the problem through initial attempts is essential for deeper understanding.
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A daredevil on a motorcycle leaves the end of a ramp with a speed of 42.0 m/s as in the figure below. If his speed is 39.8 m/s when he reaches the peak of the path, what is the maximum height that he reaches? Ignore friction and air resistance.

So v0=42.0m/s and vf=39.8m/s...what equation am I supposed to use?
 
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Well first of all it would help to know what concepts you're currently covering in your physics class because as far as I can tell, this problem can be solved in a few different ways.

Second of all, what work have you attempted on this problem so far?
 
Yes, this once can be solved by using kinematic equations or by energy considerations. You should show us how much you've worked on it.
 

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I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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Thread 'A cylinder connected to a hanging mass'

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