The equation of motion of a projectile are given by $ x = 36 t\,metre$ and $2y = 96 t -9.8 t^2\, metre$. The angle of projection is
${\sin ^{ - 1}}\left( {\frac{4}{5}} \right)$
${\sin ^{ - 1}}\left( {\frac{3}{5}} \right)$
${\sin ^{ - 1}}\left( {\frac{4}{3}} \right)$
${\sin ^{ - 1}}\left( {\frac{3}{4}} \right)$
A particle moves in a plane with constant acceleration in a direction different from the initial velocity. The path of the particle will be
The maximum height reached by a projectile is $64 \mathrm{~m}$. If the initial velocity is halved, the new maximum height of the projectile is_________.$\mathrm{m}$.
A projectile is thrown with velocity $u$ making angle $\theta$ with vertical. It just crosses the tops of two poles each of height $h$ after $1\,s$ and $3\,s$, respectively. The maximum height of projectile is ............ $m$
The maximum horizontal range of a projectile is $400\, m$. The maximum value of height attained by it will be ......... $m$
A ball projected from ground at an angle of $45^o$ just clears a wall in front. If point of projection is $4\,m$ from the foot of wall and ball strikes the ground at a distance of $6\,m$ on the other side of the wall, the height of the walI is ........ $ m$