\[(a)\;12 m,6 m/s\quad (b)\;14m,6.5m/s \quad (c)\;13m , 8 m/s \quad (d)13m,6.5 m/s\]

Let the ball be kicked from P and seconds player be at Q

Ball and second player reach O at same time,t,

Therefore $t=\large\frac{2u \sin \theta}{g}$

$\qquad=\large\frac{2 \times 19.6 \times \sin 30}{9.8}$

$\qquad=2s$

$PO=R=\large\frac{u^2 \sin 2 \theta}{g}$

$\qquad=\large\frac{(19.6)^2 \sin 60}{9.8}$$=33.95m$

Distance covered by $2 ^{nd}$ player is

$33.95-20.95=13m$

Speed of the second player

$\qquad=\large\frac{13}{2}$

$\qquad=6.5m/s$

Hence d is the correct answer.

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