A projectile is thrown at an angle $\theta$ such that it is just able to cross a vertical wall at its highest point as shown in the figure.The angle $\theta$ at which the projectile is thrown is given by
$\tan ^{-1}\left(\frac{1}{\sqrt{3}}\right)$
$\tan ^{-1}(\sqrt{3})$
$\tan ^{-1}\left(\frac{2}{\sqrt{3}}\right)$
$\tan ^{-1}\left(\frac{\sqrt{3}}{2}\right)$
A cricketer can throw a ball to a maximum horizontal distance of $100\, m .$ The speed with which he throws the ball is (to the nearest integer) (in $ms ^{-1}$)
A particle of mass $m$ is at rest at the origin at time $t = 0$. It is subjected to a force $F(t) = F_0e^{-bt}$ in the $x$ direction. Its speed $v (t)$ is depicted by which of the following curves?
Two bodies are thrown up at angles of $45^o $ and $60^o $, respectively, with the horizontal. If both bodies attain same vertical height, then the ratio of velocities with which these are thrown is
A stone is projected from the ground with velocity $50 \,m/s$ at an angle of ${30^o}$. It crosses a wall after $3$ sec. How far beyond the wall the stone will strike the ground .......... $m$ $(g = 10\,m/{\sec ^2})$
At $t = 0$ a projectile is fired from a point $O$(taken as origin) on the ground with a speed of $50\,\, m/s$ at an angle of $53^o$ with the horizontal. It just passes two points $A \& B$ each at height $75 \,\,m$ above horizontal as shown The distance (in metres) of the particle from origin at $t = 2$ sec.