Problem

A circus juggler performs an act with balls that he tosses with his right hand and catches...

A circus juggler performs an act with balls that he tosses with his right hand and catches with his left hand. Each ball is launched at an angle of 75° and reaches a maximum height of 90 cm above the launching height. If it takes the juggler 0.2 s to catch a ball with his left hand, pass it to his right hand and toss it back into the air, what is the maximum number of balls he can juggle?

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