Shots are fired simultaneously from the top and the bottom of a vertical cliff with elevation ${37}^{\circ }$ and ${53}^{\circ }$ respectively as shown. If they strike the ground simultaneously, then the relation between $u_1$ and $u_2$ is

Q.

Shots are fired simultaneously from the top and bottom of a vertical cliff with elevation $\alpha ={30}^{\circ }\text{and}\beta ={60}^{\circ }$ respectively and strikes the object simultaneously at the same point. If $a=30\sqrt{3}m$ is the horizontal distance of the object from the cliff, then the height of the cliff is

Q. If $U_1,U_2$ represents "change in potential energy" of a body with mass $m$ moving from $A$ to $B$ along two different paths $1$, & $2$ (as shown in the figure) in the gravitational field. Then

Q. In figure, the block moves downwards with velocity $u_1$, the wedge moves rightwards with velocity $u_2$. The correct relation between $u_1$ and $u_2$ is

Q. If $U_1,U_2,U_3$ represent the potential energy differences for moving a particle from $A$ to $B$ along three different paths $1,2\&3$ (as shown in the figure) in the gravitational field of point mass $m$, find the correct relation between $U_1,U_2\&U_3$.