Projectile Question -- Kicking a soccer ball through two holes in two walls....

AI Thread Summary
The discussion centers on calculating the initial velocity required for a soccer ball to pass through two holes in walls, based on a provided diagram. The equations of motion for horizontal and vertical displacements are mentioned, specifically focusing on the use of initial velocity components and time. The user initially struggles with setting up the system of equations but later resolves their confusion and successfully finds the solution. The importance of clearly presenting attempts and calculations for effective assistance is highlighted. Ultimately, the user demonstrates problem-solving by correcting their earlier mistakes.
CalebRJ01
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Homework Statement



Find the initial velocity for the above soccer kick. Note that ball must cross the 2 points in the diagram within the two walls.

Linked below is the diagram

Homework Equations


dx = v1(cos theta) * t
dy = v1(sin theta) * t - 0.5at^2

The Attempt at a Solution


I tried using the displacements in the x and y and making a system of equations out of them. But after a while, I just got stuck.

Any help would be greatly appreciated
 

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Can you show what you did so far using the x and y displacements? Just saying "I tried but I got stuck" really doesn't give us anything to go on to help you out.
 
RPinPA said:
Can you show what you did so far using the x and y displacements? Just saying "I tried but I got stuck" really doesn't give us anything to go on to help you out.
Nevermind, I ended up finding my mistake, and solving the system.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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