A projectile crosses two walls of equal height $H$ symmetrically as shown The maximum height of the projectile is ........ $m$
$120 $
$80$
$160$
cannot be obtained
If the range of a gun which fires a shell with muzzle speed $V$ is $R$, then the angle of elevation of the gun is
A projectile crosses two walls of equal height $H$ symmetrically as shown The velocity of projection is........ $ms^{-1}$
A gun can fire shells with maximum speed $v_0$ and the maximum horizontal range that can be achieved is $R_{max} = \frac {v_0^2}{g}$. If a target farther away by distance $\Delta x$ (beyond $R$) has to be hit with the same gun, show that it could be achieved by raising the gun to a height at least $h = \Delta x\,\left[ {1 + \frac{{\Delta x}}{R}} \right]$.
Four bodies $P, Q, R$ and $S$ are projected with equal velocities having angles of projection $15^o , 30^o , 45^o $ and $60^o $ with the horizontal respectively. The body having shortest range is
The projectile motion of a particle of mass $5\, g$ is shown in the figure.
The initial velocity of the particle is $5 \sqrt{2}\, ms ^{-1}$ and the air resistance is assumed to be negligible. The magnitude of the change in momentum between the points $A$ and $B$ is $x \times 10^{-2}\, kgms ^{-1} .$ The value of $x ,$ to the nearest integer, is ...... .