Figure shows a projectile thrown with speed $u=20 \,m / s$ at an angle $30^{\circ}$ with horizontal from the top of a building $40 \,m$ high. Then the horizontal range of projectile is ........... $m$

213004-q

  • A

    $20 \sqrt{3}$

  • B

    $40 \sqrt{3}$

  • C

    $40$

  • D

    $20$

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  • [NEET 2017]

A boy playing on the roof of a $10\, m$ high building throws a ball with a speed of $10\,m/s$ at an angle of $30^o$ with the horizontal. How far from the throwing point will the ball be at the height of $10\, m$ from the ground ?  $\left[ {g = 10\,m/{s^2},\sin \,{{30}^o} = \frac{1}{2},\cos \,{{30}^o} = \frac{{\sqrt 3 }}{2}} \right]$