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

  • A

    $3h_1$

  • B

    $2h_1$

  • C

    $h_1/2$

  • D

    $h_1/3$

Similar Questions

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 $g =10\,m / s ^2$ )

  • [JEE MAIN 2023]

The range of a projectile when launched at angle $\theta$ is same as when launched at angle $2 \theta$. What is the value of $\theta$ ?

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A ball is projected upwards from the top of a tower with a velocity of $50\, ms^{-1}$  making an angle of $30^o$ with the horizontal. The height of the tower is $70\, m$. After how  many seconds from the instant of throwing will the ball reach the ground ?.......$s$

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 $(s)$ $\tan ^{-1}\left(\frac{1}{2}\right)$