A projectile is fired from level ground at an angle $\theta $ above the horizontal. The elevation angle $\phi $ of the highest point as seen from the launch point is related to $\theta $ by the relation
$\tan \,\phi = \frac{1}{4}\,\tan \,\theta $
$\tan \,\phi = \tan \,\theta $
$\tan \,\phi = \frac{1}{2}\,\tan \,\theta $
$\tan \,\phi = 2\,\tan \,\theta $
A heavy particle is projected from a point on the horizontal at an angle $60^o$ with the horizontal with a speed of $10\ m/s$ . Then the radius of the curvature of its path at the instant of crossing the same horizontal will be ......... $m$
A large number of bullets are fired in all directions with same speed $v$. What is the maximum area on the ground on which these bullets will spread
Four bodies $P, Q, R$ and $S$ are projected with equal velocities having angles of projection $15^{\circ}, 30^{\circ}, 45^{\circ}$ and $60^{\circ}$ with the horizontals respectively. The body having shortest range is
Derive the formula for Range of a projectile $(R)$. Derive the formula for maximum projectile.
A ball of mass $1 \;kg$ is thrown vertically upwards and returns to the ground after $3\; seconds$. Another ball, thrown at $60^{\circ}$ with vertical also stays in air for the same time before it touches the ground. The ratio of the two heights are