Motion in a Plane

A ball is thrown from the location (x0, y0) = (0, 0) of a horizontal playground with an initial speed v0 at an angle 0 from the +x-direction. The ball is to be hit by a stone, which is thrown at the same time from the location (x1, y1) = (L, 0). The stone is thrown at an angle (180 - 1) from the +x-direction with a suitable initial speed. For a fixed v0, when ( 0, 1) = (45 , 45 ), the stone hits the ball after time T1, and when ( 0, 1) = (60 , 30 ), it hits the ball after time T2. In such a case, (T1/T2)2 is .