Finding initial velocity in free fall with given meters.

AI Thread Summary
To find the initial velocity of a ball thrown by a juggler that reaches a height of 3.0 meters, one can use the principles of kinematics. The motion of the ball going up to the ceiling is mirrored by its fall back down, meaning the initial velocity when thrown upwards will equal the final velocity when it falls back down to the juggler's hand. Key equations of motion, including those for time, displacement, and velocity, should be applied to solve for the unknown initial velocity. Identifying known values and applying the correct kinematic equations will lead to the solution. Understanding these relationships is crucial for solving the problem effectively.
Crusaderking1
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Homework Statement



A juggler throws a ball just so it reaches the ceiling at 3.0 meters. (3m above hand)
How do I solve for initial velocity?

Homework Equations


The Attempt at a Solution

 
Last edited:
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Crusaderking1 said:

Homework Statement



A juggler throws a ball just so it reaches the ceiling at 3.0 meters. (3m above hand)
How do I solve for initial velocity?

Homework Equations





The Attempt at a Solution


You would use the fact that falling from the ceiling to his hand mirrors his toss to the ceiling.
One is travel up - the other down
One starts at high speed and finished at zero speed, the other starts at zero speed and finishes at the same high speed.
 
Recall the equations for motion, time and displacement and see which one fits. For that you have to see what values you know and what you do not know.
 
thanks.
 

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