A firecracker is thrown with velocity of $30 \,ms ^{-1}$ in a direction which makes an angle of $75^{\circ}$ with the vertical axis. At some point on its trajectory, the firecracker splits into two identical pieces in such a way that one piece falls $27 \,m$ far from the shooting point. Assuming that all trajectories are contained in the same plane, how far will the other piece fall from the shooting point? (Take, $g=10 \,ms ^{-2}$ and neglect air resistance)
A firecracker is thrown with velocity of $30 \,ms ^{-1}$ in a direction which makes an angle of $75^{\circ}$ with the vertical axis. At some point on its trajectory, the firecracker splits into two identical pieces in such a way that one piece falls $27 \,m$ far from the shooting point. Assuming that all trajectories are contained in the same plane, how far will the other piece fall from the shooting point? (Take, $g=10 \,ms ^{-2}$ and neglect air resistance)
- [KVPY 2012]
- A
$63 \,m$ or $144 \,m$
- B
$72 \,m$ or $99 \,m$
- C
$28 \,m$ or $72 \,m$
- D
$63 \,m$ or $117 \,m$
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