Question in dynamics projectile motion

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The discussion centers on solving a projectile motion problem involving vertical and horizontal components of motion. The equations presented are Y = (v sin θ)t - 0.5gt² and X = (v cos θ)t, with specific values given for height and distance. Participants note the challenge of having three variables without sufficient information, particularly the maximum height. A hint suggests that knowing the maximum height can help calculate the initial velocity components. The rule for maximum height is provided as H = (u² sin² θ) / 2g, indicating a potential method for solving the problem.
abdo99
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Attempt solution

Y=(vsinø)t-0.5gt^2
4=(vsinø)t-4,9t^2

But there is 3 variables!

Another eq is
X=(vcosø)t
6=(vcosø)t

But i did not found any away to solution
 
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You posted a sideways picture
 
Hint: 1. The ball travels on a parabolic path.

2. If you know the max height of the ball, you can calculate the vertical and horizontal components of initial velocity.

Or, at least, that's how I managed to do it but there may be a simpler method/formula..
 
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I know that ,but i did not konw the maximum H
The rule is H=(u^2sin^2)/2g
 
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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