A juggler performs an act with balls that she tosses with her
right hand and catches with her left hand. Each ball is launched at an
angle of 75.0° and reaches a maximum height of 90.0 cm above the
launching height. If it takes the juggler 0.200 s to catch a ball with
her left hand, pass it to her right hand and toss it back into the air,
what is the maximum number of balls she can juggle?