Difficult Projectile Motion Problem

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A projectile motion problem involves a ball hit at a 45º angle from a height of 1.3m, needing to clear a 3m wall located 130m away. The challenge lies in determining the initial velocity, as the problem does not provide it directly. The expected answer is 36m/s, leading to horizontal and vertical components of 25.45m/s. Attempts to calculate the total time and horizontal distance have not yielded further insights. The discussion reflects frustration and confusion over the relationship between the height and distance parameters in the problem.
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Homework Statement


A player hits a ball 45º above the horizontal 1.3m above the ground. It clears a 3m wall 130m away. What was the initial velocity?


Homework Equations


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The Attempt at a Solution



Normally projectile motion problems don't give me much trouble, but in this instance I'm not given the initial velocity and hence I cannot find the horizontal or vertical components of the velocity. It is 45º, so my thought was to find an equation in which the v_x=v_y, but nothing comes to mind.

The answer in the book is supposedly 36m/s, working backwards gives me a horizontal/vertical velocity of 25.45m/s. I can find the total time of the trip and the total horizontal distance (at a height of 1.3m) but from there I am trumped to find anything remotely similar for the other equation.
 
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Just had an epiphany

I think the 3m/130m height away is the vertex or maximum height

gonna try that out

edit: i don't think so... 100% stumped
 
Last edited:

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