The Carnival has been accused of being Bird Killers since they have recently introduced the Rock'n...

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The Carnival has been accused of being "Bird Killers" since they have recently introduced the Rock'n Bird game. The Rock'n Bird game consists of a perfectly round spinning wheel with a magnetic rock. The rock is spinning counterclockwise at a rate of 11.73 meters per second along the edge. The participant who is holding a remote control will push a button. Once the button is pushed, the rock will immediately dislodge and shoot off. Your task is to figure out when is the perfect time to push the button such that the rock will hit the bird. Hitting the bird will result in you winning a giant size teddy bird. Being a mathematician, you want to figure exactly when to push the button. (Use Desmos if needed to see the graph of the location of the bird and the radius to help solve the problem) The Carnival has been accused of being "Bird Killers" since they have recently introduced the Rock'n Bird game. The Rock'n Bird game consists of a perfectly round spinning wheel with a magnetic rock. The rock is spinning counterclockwise at a rate of 11.73 meters per second along the edge. The participant who is holding a remote control will push a button. Once the button is pushed, the rock will immediately dislodge and shoot off. Your task is to figure out when is the perfect time to push the button such that the rock will hit the bird. Hitting the bird will result in you winning a giant size teddy bird. Being a mathematician, you want to figure exactly when to push the button. (Use Desmos if needed to see the graph of the location of the bird and the radius to help solve the problem)