A tricky game of catch

You and a friend are going to ride on a Ferris wheel. For a little extra fun, when your friend is at the very top of the Ferris wheel she's going to drop a tennis ball. How far around the Ferris wheel in radians from your friend should you sit so you can catch the ball?

Details and assumptions

  • The Ferris wheel radius is R=20 mR=20~\mbox{m}.
  • The Ferris wheel goes around at a constant angular velocity ω=0.2 rad/s\omega=0.2~\mbox{rad/s}.
  • The acceleration of gravity is 9.8 m/s2-9.8~\mbox{m/s}^2.
  • Neglect air resistance.
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