In a game of egg-toss, two players toss an egg back and forth between them while moving farther and farther apart. The loser is the person who breaks the egg when catching it. The force required to break an egg's shell is about 5 N and a typical egg has a mass of about 50 g. If the players are 10 m apart, and the eggs are thrown with initial velocities directed at 45° above the horizontal, what is the shortest time that a player can take to arrest the motion of the egg so as not to break it?
(a) 0.01 s
(b) 0.10 s
(c) 0.50 s
(d) 1.00 s