Physics - Kinematics Question with Solution | TestHub

A ball is thrown from the location $\left(x_0,y_0\right)=(0,0)$ of a horizontal playground with an initial speed $v_0$ at an angle ${\theta }_0$ from the $+x$-direction. The ball is to be hit by a stone, which is thrown at the same time from the location $\left(x_1,y_1\right)=(L,0)$. The stone is thrown at an angle $\left(180-{\theta }_1\right)$ from the $+x$-direction with a suitable initial speed. For a fixed $v_0$, when $\left({\theta }_0,{\theta }_1\right)=\left(45^{\circ },45^{\circ }\right)$, the stone hits the ball after time $T_1$, and when $\left({\theta }_0,{\theta }_1\right)=\left(60^{\circ },30^{\circ }\right)$, it hits the ball after time $T_2$. In such a case, ${\left(T_1/T_2\right)}^2$ is _______ .