A game requires that two children each throw a ball upward as high as possible from point O and then run horizontally in opposite directions away from O. The child who travels the greater distance before their thrown ball impacts the ground wins. If child A throws a ball upward with a speed of v1 = 70 ft /sec and immediately runs leftward at a constant speed of vA = 16 ft /sec while child B throws the ball upward with a speed of v2 = 64 ft /sec and immediately runs rightward with a constant speed of vB = 18 ft /sec, which child will win the game?
