A projectile crosses two walls of equal height $H$ symmetrically as shown The velocity of projection is........ $ms^{-1}$
$30 $
$40 $
$50 $
none of these
A stone is just released from the window of a train moving along a horizontal straight track. The stone will hit the ground following
A ball is projected from ground with a velocity $V$ at an angle $\theta$ to the vertical. On its path it makes an elastic collison with a vertical wall and returns to ground. The total time of flight of the ball is
Trajectory of particle in a projectile motion is given as $y=x-\frac{x^2}{80}$. Here, $x$ and $y$ are in metre. For this projectile motion match the following with $g=10\,m / s ^2$.
$Column-I$ | $Column-II$ |
$(A)$ Angle of projection | $(p)$ $20\,m$ |
$(B)$ Angle of velocity with horizontal after $4\,s$ | $(q)$ $80\,m$ |
$(C)$ Maximum height | $(r)$ $45^{\circ}$ |
$(D)$ Horizontal range | $(s)$ $\tan ^{-1}\left(\frac{1}{2}\right)$ |
The ceiling of a long hall is $25\; m$ high. What is the maximum horizontal distance that a ball thrown with a speed of $40\; m/ s$ can go without hitting the ceiling of the hall ?
The time of flight of an object projected with speed $20 \,ms ^{-1}$ at an angle $30^{\circ}$ with the horizontal, is .... $s$