A body of mass $1\,kg$ is projected with velocity $50\,m / s$ at an angle of $30^{\circ}$ with the horizontal. At the highest point of its path a force $10\,N$ starts acting on body for $5\,s$ vertically upward besides gravitational force, what is horizontal range of the body? $\left(g=10\,m/s^2\right)$

  • A

    $125 \sqrt{3}\,m$

  • B

    $200 \sqrt{3}\,m$

  • C

    $500\,m$

  • D

    $250 \sqrt{3}\,m$

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