If the time of flight of a bullet over a horizontal range $R$ is $T$, then the angle of projection with horizontal is ......
$\tan ^{-1}\left(\frac{g T^2}{2 R}\right)$
$\tan ^{-1}\left(\frac{2 R^2}{g T}\right)$
$\tan ^{-1}\left(\frac{2 R}{g^2 T}\right)$
$\tan ^{-1}\left(\frac{2 R}{g T}\right)$
The trajectory of a projectile near the surface of the earth is given as$ y = 2x -9x^2$. If it were launched at an angle $\theta_0$ with speed $v_0$ then $(g = 10\, ms^{-2}$)
A projectile fired with initial velocity $u$ at some angle $\theta $ has a range $R$. If the initial velocity be doubled at the same angle of projection, then the range will be
A particle is projected from horizontal making an angle of $53^{\circ}$ with initial velocity $100\,m / s$. The time taken by the particle to make angle $45^{\circ}$ from horizontal is $.........\,s$
A particle covers $50\, m$ distance when projected with an initial speed. On the same surface it will cover a distance, when projected with double the initial speed ......... $m$
A ball is projected with kinetic energy $E$ at an angle of ${45^o}$ to the horizontal. At the highest point during its flight, its kinetic energy will be