A child stands on the edge of the cliff $10\,m$ above the ground and throws a stone horizontally with an initial speed of $5\,ms ^{-1}$. Neglecting the air resistance, the speed with which the stone hits the ground will be $..........ms ^{-1}$ (given, $g =10\,ms ^{-2}$)

A particle is projected from a tower of height $40\ m$ in horizontal direction. Due to wind a constant acceleration is provided to the particle opposite to its initial velocity. If particle hits the ground (at the bottom of the tower) at an angle $37^o$ with horizontal, then find acceleration provided by wind to the particle 

A missile is fired in horizontal direction from a height of $20\,m$ at a speed of $1000\, m/s.$ At what distance of ground will the missile land ?

A slide with a frictionless curved surface, which becomes horizontal at its lower end,, is fixed on the terrace of a building of height $3 h$ from the ground, as shown in the figure. A spherical ball of mass $\mathrm{m}$ is released on the slide from rest at a height $h$ from the top of the terrace. The ball leaves the slide with a velocity $\vec{u}_0=u_0 \hat{x}$ and falls on the ground at a distance $d$ from the building making an angle $\theta$ with the horizontal. It bounces off with a velocity $\overrightarrow{\mathrm{v}}$ and reaches a maximum height $h_l$. The acceleration due to gravity is $g$ and the coefficient of restitution of the ground is $1 / \sqrt{3}$. Which of the following statement($s$) is(are) correct?

($AV$) $\vec{u}_0=\sqrt{2 g h} \hat{x}$ ($B$) $\vec{v}=\sqrt{2 g h}(\hat{x}-\hat{z})$  ($C$) $\theta=60^{\circ}$  ($D$) $d / h_1=2 \sqrt{3}$

If the time of flight of a bullet over a horizontal range $R$ is $T\, seconds$, the inclination of the direction of projection to the horizontal is

A plane is flying horizontally at $98\, m/s$ and releases an object which reaches the  ground in $10 \sec$. The angle made by object while hitting the ground is   ......... $^o$