Two incline plane of angle \( 30^{\circ} \) and \( 60^{\circ} \) are placed touching each other ...

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Two incline plane of angle \( 30^{\circ} \) and \( 60^{\circ} \) are placed touching each other at the base as shown in the figure. A projectile is projected with speed of \( 10 \sqrt{3} \mathrm{~ms}^{-1} \) from point \( P \) as shown and hits the other inclined at point \( Q \) normally.
\( \mathrm{P} \)
W
If the co-ordinate are taken along the inclines as shown in the figure, then
(1) Component of acceleration in \( x \)-direction is \( -5 \sqrt{3} \mathrm{~ms}^{-2} \)
(2) Component of acceleration in \( x \)-direction is \( -10 \sqrt{3} \mathrm{~ms}^{-2} \)
(3) Component of acceleration in \( y \)-direction is \( -5 \sqrt{3} \mathrm{~ms}^{-2} \)
(4) Component of acceleration in y-direction is \( -10 \sqrt{3} \mathrm{~ms}^{-2} \)
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