Optimizing Trajectory for Perfectly Elastic Collisions: A Super Ball Experiment

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To optimize the trajectory of a super ball for perfectly elastic collisions, the throw must be designed to create a repeating path between two specified points on a horizontal surface. The problem lacks specific details about the distance between the points and the height from which the ball is thrown, making it difficult to determine the exact initial velocity vector needed. The trajectory could resemble a loop, such as an inverted parabola or semicircle, but without more information, precise calculations cannot be made. The moment of inertia for the super ball is given, which may be relevant for understanding its motion, but additional parameters are necessary for a complete solution. Clarifying the distance and height will help in formulating the correct throwing technique.
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Homework Statement


How should you throw a super ball so that the trajectory of the ball moves back and forth between two points. The super ball undergos perfectly elastic collisions with the ground and does not slip. The moment of inertia for the super ball is I = 2/5*MR^2. Specify the initial velocity vector.


Homework Equations


m*velocity inital=m*velocity final


The Attempt at a Solution


Hate to say it but I'm totally stuck. I don't think it has to do with the path specifically, but I'm pretty lost in general. Any help would be greatly appreciated.

thanks
 
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Hello,

It appears (to me, at least) that there's not enough info here to say. Is this the whole problem? What two points do you want the ball to move back and forth between? How are they oriented? Where are they located in relation to the thrower?
 
the two points are some distance a part on a horizontal surface. Basically two points on the ground. It doesn't specify how far apart they are, but the trajectory is like a "loop" it could be an inverted parabola or a semicircle but it isn't specified. Also, we don't know from where or from how high the ball is thrown.
 

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