A particle covers $50\, m$ distance when projected with an initial speed. On the same surface it will cover a distance, when projected with double the initial speed ......... $m$

  • A

    $100$

  • B

    $150 $

  • C

    $200 $

  • D

    $250 $

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Given that $u_x=$ horizontal component of initial velocity of a projectile, $u_y=$ vertical component of initial velocity, $R=$ horizontal range, $T=$ time of flight and $H=$ maximum height of projectile. Now match the following two columns.

Column $I$ Column $II$
$(A)$ $u_x$ is doubled, $u_y$ is halved $(p)$ $H$ will remain unchanged
$(B)$ $u_y$ is doubled $u_x$ is halved $(q)$ $R$ will remain unchanged
$(C)$ $u_x$ and $u_y$ both are doubled $(r)$ $R$ will become four times
$(D)$ Only $u_y$ is doubled $(s)$ $H$ will become four times