Kinematics Problem: Ball Thrown from 84m Window with 32.2m/s Velocity

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A ball is thrown vertically from an 84-meter high window with an initial velocity of 32.2 m/s, and the goal is to determine the time until it hits the ground. To solve this kinematics problem, relevant equations of motion must be applied, particularly those involving initial velocity, displacement, and acceleration due to gravity. Participants in the discussion emphasize the importance of showing prior attempts at solving the problem to receive effective assistance. The conversation encourages identifying which kinematic equations are applicable to this scenario. Understanding these concepts is crucial for accurately calculating the time until the ball reaches the ground.
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Homework Statement


I throw a ball vertically out of a 84meter high window with an intial velocity of 32.2m/s. How many seconds until the ball hits the ground


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The Attempt at a Solution

 
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You have to give us an idea of what you have tried to solve this problem before anyone will help you.

Apparently you understand that this is a kinematics problem, so start from there. What Kinematic equations do you know, and what one do you think will apply to describe this situation?
 
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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