$A$ body is projected at such an angle that the horizontal range is three times the greatest height. The angle of projection is

The ratio of minimum kinetic energies of two projectiles of the same mass is $4:1$. The ratio of the maximum heights attained by them is also $4:1$. The ratio of their ranges would be: (in $:1$)

$A$ body is projected at $t = 0$ with a velocity $10\,ms^{-1}$ at an angle of $60^\circ$ with the horizontal. The radius of curvature of its trajectory at $t = 1\,s$ is $R$. Neglecting air resistance and taking acceleration due to gravity $g = 10\,ms^{-2}$,the value of $R$ is ........ $m$.

The path of a projectile in the absence of air drag is shown in the figure by a dotted line. If air resistance is not ignored, then which one of the paths shown in the figure is appropriate for the projectile?

$A$ body is projected with a speed $u \ m/s$ at an angle $\beta$ with the horizontal. The kinetic energy at the highest point is $3/4$ of the initial kinetic energy. The value of $\beta$ is: (in $^{\circ}$)

In the case of projectile motion, which one of the following figures represents the variation of the horizontal component of velocity $(u_{x})$ with time $t$? (Assume that air resistance is negligible.)