The velocity at the maximum height of a projectile is half of its initial velocity $u$. Its range on the horizontal plane is
$\frac{\sqrt{3} u ^{2}}{2 g }$
$\frac{ u ^{2}}{3 g }$
$\frac{u ^{2}}{2 g }$
$\frac{3 u ^{2}}{ g }$
The equation of a projectile is $y=\sqrt{3} x-\frac{ x^2}{2}$, the velocity of projection is
For an object projected from ground with speed $u$ horizontal range is two times the maximum height attained by it. The horizontal range of object is ..........
Derive the formula for time taken to achieve maximum, total time of Flight and maximum height attained by a projectile.
If time of flight of a projectile is $10$ seconds. Range is $500$ meters. The maximum height attained by it will be ......... $m$
A body is projected with velocity $u$ making an angle $\alpha$ with the horizontal. Its velocity when it is perpendicular to the initial velocity vector $u$ is