How Do You Calculate the Initial Velocity of a Juggling Ball?

AI Thread Summary
To calculate the initial velocity of a juggling ball thrown between level hands 40 cm apart, start by identifying the known variables: distance (40 cm) and time in the air (0.85 s). The problem involves basic kinematics, where the ball's displacement is zero when it returns to the same height. Use relevant equations of motion to relate distance, time, and velocity, focusing on the vertical motion of the ball. The initial velocity can be determined by analyzing the time it takes for the ball to reach its peak and return, ensuring to account for both magnitude and direction. Understanding these principles will lead to the correct calculation of the ball's initial velocity.
c.kal
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You are practicing your juggling skills by throwing a single juggling ball back and forth between level hands. The distance between your hands is 40 cm. Between catches, the ball is in the air 0.85 s. Calculate the magnitude and direction of initial velocity of the juggling ball each time you throw it.

i'm not sure where to start on this one..
 
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Hi c.kal, I see you are new here. http://imageshack.com/a/img515/4884/welcomesign.gif

You start this problem the same way as you start any physics problem---you write down what you are given and what you are required to find. This includes a sketch because things are clearer if you have some pictorial aid to focus on. Then you write down as many relevant equations as you can. Next, cross out those equations that you can see are of no use here.

Then, you get serious ... :smile:
 
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I sketched and labeled it but I still can't figure out where to start
 
Post what you've done here. Show the kinematics equations that might be useful.

Hint: when a ball thrown into the air returns to the level it was thrown from, its displacement at that point equals zero.
 

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