A stone is thrown at an angle $\theta $ to the horizontal reaches a maximum height $H$. Then the time of flight of stone will be
$\sqrt {\frac{{2H}}{g}} $
$2\,\sqrt {\frac{{2H}}{g}} $
$\frac{{2\sqrt {2H\,\sin \theta } }}{g}$
$\frac{{\sqrt {2H\,\sin \theta } }}{g}$
The equation of a projectile is $y=\sqrt{3} x-\frac{ x^2}{2}$, the velocity of projection is
A projectile is fired from the surface of the earth with a velocity of $5 \,m s^{-1}$ and angle $\theta$ with the horizontal. Another projectile fired from another planet with a velocity of $3 \,m s^{-1}$ at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is (in $\,m s^{-1}$) is
(Given $g = 9.8 \,m s^{-2}$)
A stone projected with a velocity u at an angle $\theta$ with the horizontal reaches maximum height $H_1$. When it is projected with velocity u at an angle $\left( {\frac{\pi }{2} - \theta } \right)$ with the horizontal, it reaches maximum height $ H_2$. The relation between the horizontal range R of the projectile, $H_1$ and $H_2$ is
Range of a bullet fired at $45^o$ to horizontal is $980m$. If the bullet is fired at same angle from a car travelling horizontally at $18\, km/hr$ towards target then range will be increased by :-
A ball is thrown at an angle $\theta$ with the horizontal. Its horizontal range is equal to its maximum height. This is possible only when the value of $\tan \theta$ is ..........