A basketball player goes up for a 3-pointer from 7m out. To shoot
over his opponent's outstretched arm, he releases the ball at 60
with respect to the horizontal, at a height 1m below the height of the
rim. Assuming that his release is on line and undeflected: a) How
fast must the ball be thrown to go through the hoop ``perfectly''? b)
If the game has exactly 1 second left when the ball is released, (by
how much time) will the ball go through before or after the buzzer?