What Height Does a Ball Reach When Its Speed Halves?

AI Thread Summary
A ball thrown straight upward reaches a maximum height of 18 meters. The discussion focuses on determining the height at which the ball's speed is half of its initial value. Key variables include the initial speed, maximum height, and gravitational acceleration (9.81 m/s²). The problem requires applying kinematic equations to find the specific height corresponding to the reduced speed. Understanding the relationship between speed, height, and gravitational force is essential for solving this physics problem.
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Homework Statement



A ball is thrown straight upward and rises to a maximum height of 18 m above its launch point. At what height above its launch point has the speed of the ball decreased to one-half of its initial value?

Homework Equations


i don't know.



The Attempt at a Solution


vi=0, d=18m, g=9.81, this is all i know.
 
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mandaa123 said:

Homework Statement



A ball is thrown straight upward and rises to a maximum height of 18 m above its launch point. At what height above its launch point has the speed of the ball decreased to one-half of its initial value?

Homework Equations


i don't know.



The Attempt at a Solution


vi=0, d=18m, g=9.81, this is all i know.

https://www.physicsforums.com/showpost.php?p=905663&postcount=2
 
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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