Water is flowing from a horizontal pipe fixed at a height of $2\,m$ from the ground. If it falls at a horizontal distance of $3\,m$ as shown in the figure,the speed of water when it leaves the pipe is $............\,ms^{-1}$ (take $g=9.8\,ms^{-2}$).

  • A
    $2.4$
  • B
    $4.7$
  • C
    $7.4$
  • D
    $6.2$

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$A$ particle is projected from a tower of height $40 \ m$ in the horizontal direction. Due to wind,a constant acceleration is provided to the particle opposite to its initial velocity. If the particle hits the ground (at the bottom of the tower) at an angle of $37^\circ$ with the horizontal,find the acceleration provided by the wind to the particle.

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An aeroplane is flying at a height of $80 \, m$ with a velocity of $150 \, m/s$. $A$ bomb is dropped from it to hit a target. At what distance from the target should the bomb be dropped (in $, m$)?

$A$ child stands on the edge of a cliff $10 \ m$ above the ground and throws a stone horizontally with an initial speed of $5 \ m/s$. Neglecting air resistance,the speed with which the stone hits the ground will be $.......... \ m/s$ (given,$g = 10 \ m/s^2$).

$A$ 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 $m$)$III$. $10$
$D$. Vertical velocity of the body after $1 \ s$ (in $ms^{-1}$)$IV$. $22.4$

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

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