A ball rolls from the top of a stair way with a horizontal velocity $u\; m /s$ . If the steps are $h\; m$ high and $b\; m$ wide, the ball will hit the edge of the $n^{th}$ step, if $n=$
$\frac{{h{u^2}}}{{g{b^2}}}$
$\frac{{{u^2}8}}{{g{b^2}}}$
$\frac{{2h{u^2}}}{{g{b^2}}}$
$\frac{{2{u^2}g}}{{h{b^2}}}$
A ball of mass $0.2 \ kg$ rests on a vertical post of height $5 m$. A bullet of mass $0.01 \ kg$, traveling with a velocity $V / s$ in a horizontal direction, hits the centre of the ball. After the collision, the ball and bullet travel independently. The ball hits the ground at a distance of $20 \ m$ and the bullet at a distance of $100 \ m$ from the foot of the post. The initial velocity $V$ of the bullet is
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 ......... $^o$
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 ball rolls off the top of a stairway with horizontal velocity $\mathrm{u}$. The steps are $0.1 \mathrm{~m}$ high and $0.1 \mathrm{~m}$ wide. The minimum velocity $\mathrm{u}$ with which that ball just hits the step $5$ of the stairway will be $\sqrt{\mathrm{x}} \mathrm{ms}^{-1}$ where $\mathrm{x}=$___________ [use $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ ].