How can I determine the initial velocity of a ball thrown towards a ceiling?

AI Thread Summary
To determine the initial velocity of a ball thrown vertically to reach a ceiling 2.4 meters high, the conservation of energy principle can be applied, assuming no air resistance. The discussion suggests that the ball's upward and downward flight times are equal, allowing for the use of kinematic equations. Specifically, the equation vf² = vi² + 2ad can be utilized, where the final velocity (vf) at the peak is 0 m/s, acceleration (a) is due to gravity, and distance (d) is 2.4 m. The initial velocity (vi) can then be calculated by rearranging the equation, with time being the only missing variable. This approach provides a systematic way to find the initial velocity needed for the ball to reach the ceiling.
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Homework Statement



a ball that is 10cm in diameter is thrown 2.4m above the level of hands vertically to reach a ceiling what is the initial velocity

Homework Equations


struggling to determine the intial velocity as have no time


The Attempt at a Solution



Help! really struggling
 
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Assuming there is no air resistance, then use the conservation of energy principle.
 
conservation of energy principle?
I have a similar problem and stuck too. I'm thinking if the down part of the balls flight equals the same as the up part then I was thinking you can work out the second half of the flight with vf2 = vi2 + 2ad, knowing the initial velocity for the return trip is 0m/s and acceleration is gravity and d=2.4m. Not sure if I'm on the right track though. But if so then can use one of the formulas with time the only missing variable and work it out.
 

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