There and back again

Suppose you want to throw a super ball so that it bounces back and forth, retracing the same trajectory, as shown above. If you throw the ball horizontally with velocity \(\SI[per-mode=symbol]{1}{\meter\per\second},\) what spin \(\omega\) (in \(\si[per-mode=symbol]{\radian\per\second}\)) must you give it so that it does what you want?

Assumptions and Details

  • The collision with the ground is perfectly elastic.
  • The ball does not slip while it contacts the ground.
  • The radius of the ball is \(\SI{3}{\centi\meter}.\)

Problem Loading...

Note Loading...

Set Loading...