$A$ stone is projected at an angle of $60^o$ from the ground level and strikes at an angle of $30^o$ on the roof of a building of height $h = 30 \, m$. Find the speed of projection (in $m/s$) of the stone.

  • A
    $30$
  • B
    $40$
  • C
    $50$
  • D
    $60$

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Projectiles $A$ and $B$ are thrown at angles of $45^{\circ}$ and $60^{\circ}$ with the vertical,respectively,from the top of a $400 \ m$ high tower. If their ranges and times of flight are the same,the ratio of their speeds of projection $v_A : v_B$ is:

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$A$ body is projected horizontally from the top of a tower of height $180 \ m$ with a velocity of $20 \ ms^{-1}$. If acceleration due to gravity is $10 \ ms^{-2}$,then match the following:
List-$I$ (Kinematic Variable)List-$II$ (Value)
$A$. Velocity of the body after $1 \ s$ (in $ms^{-1}$)$I$. $5$
$B$. Horizontal displacement of the body after $1 \ s$ (in $m$)$II$. $20$
$C$. Vertical displacement of the body after $1 \ s$ (in $m$)$III$. $10$
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The correct answer is

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