The equation of a projectile is $y=\sqrt{3} x-\frac{ x^2}{2}$, the velocity of projection is
$3\sqrt {10} \,\,m/s$
$2\sqrt {10} \,m/s$
$10\sqrt 3 \,m/s$
$10\sqrt 2 \,m/s$
A projectile is thrown into space so as to have a maximum possible horizontal range of $400$ metres. Taking the point of projection as the origin, the co-ordinates of the point where the velocity of the projectile is minimum are
A football player throws a ball with a velocity of $50$ metre/sec at an angle $30 $ degrees from the horizontal. The ball remains in the air for ...... $\sec$ $(g = 10\,m/{s^2})$
A projectile projected at an angle ${30^o}$ from the horizontal has a range $2\upsilon ,\,\sqrt 2 \upsilon \,\,{\rm{ and}}\,{\rm{zero}}$. If the angle of projection at the same initial velocity be ${60^o}$, then the range will be
If $R$ and $H$ are the horizontal range and maximum height attained by a projectile, than its speed of projection is ..........
If time of flight of a projectile is $10$ seconds. Range is $500$ meters. The maximum height attained by it will be ......... $m$