Two stones are projected with the same speed but making different angles with the horizontal. Their ranges are equal. If the angle of projection of one is $\pi /3$ and its maximum height is $h_1$ then the maximum height of the other will be
$3h_1$
$2h_1$
$h_1/2$
$h_1/3$
A projectile is projected at $30^{\circ}$ from horizontal with initial velocity $40\,ms ^{-1}$. The velocity of the projectile at $t =2\,s$ from the start will be $........$ (Given $g =10\,m / s ^2$ )
The range of a projectile when launched at angle $\theta$ is same as when launched at angle $2 \theta$. What is the value of $\theta$ ?
For a projectile the ratio of maximum height reached to the square of flight time 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 | $(s)$ $\tan ^{-1}\left(\frac{1}{2}\right)$ |