What Height Does a Ball Reach When Its Speed Halves?

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SUMMARY

A ball thrown straight upward reaches a maximum height of 18 meters. To determine the height at which the ball's speed is halved, one must apply the principles of kinematics and energy conservation. Given the initial velocity (vi) is zero at the peak and gravitational acceleration (g) is 9.81 m/s², the height can be calculated using the formula for potential energy and kinetic energy relationships. The specific height where the speed is half of the initial speed is found to be 13.5 meters above the launch point.

PREREQUISITES
  • Understanding of kinematic equations
  • Basic knowledge of gravitational acceleration (9.81 m/s²)
  • Familiarity with energy conservation principles
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study kinematic equations for vertical motion
  • Learn about energy conservation in physics
  • Explore the concept of maximum height in projectile motion
  • Practice problems involving gravitational acceleration and speed calculations
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Students studying physics, educators teaching kinematics, and anyone interested in understanding the principles of motion and energy conservation.

mandaa123
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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
 

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