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In: Advanced Math

A circus clown is to be fired from a cannon at an angle of 60 degress...

A circus clown is to be fired from a cannon at an angle of 60 degress to the horizontal with an initial   

      speed of 60 ft/sec. The clown is supposed to hit a cushion located 100 ft away. The circus is

      held in a building with 50 ft ceilings.

  1. Can the performer be fired to the cushion without hitting the ceiling?
  2. Will the clown land on the cushion? If not, will he land short or long of the mark?
  3. What angle should be used to have the clown land directly on the cushion?

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