The ratio of times taken by a freely falling body to travel first 5 m , second 5 m , third 5 m distances is

Two bodies are projected from the same point with the same initial velocity ' $u$ ' making angles ' $\theta^{\prime}$ and $\left(90^{\circ}-\theta\right)$ with the horizontal in opposite directions. The horizontal distance between their positions when the bodies are at their maximum heights is

If the system of blocks shown in the figure is released from rest, the ratio of the tensions $T_1$ and $T_2$ is (Neglect the mass of the string shown in the figure)

If the component of the vector $\mathbf{A}$ along the vector $\mathbf{B}$ is twice the component of $\mathbf{B}$ along $\mathbf{A}$, then the ratio of magnitudes of vectors $\mathbf{A}$ and $\mathbf{B}$ is