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The table below shows the motion of an object under free fall. The position of the object after different time intervals of \( 0, \tau, 2 \tau \) and \( 3 \tau \), are given in the second column. With the reference to this table, the missing entries \( A \) and \( B \) are
\begin{tabular}{c|c|c|c|c}
\hline \( \boldsymbol{t} \) & \( \boldsymbol{y} \) & \( y \) in terms of \( y_{0} \) \( \left[=(-1 / 2) g \tau^{2}\right] \) & Distance traversed in successive intervals & Ratio of distances traversed \\
\hline 0 & 0 & 0 & & \\
\hline\( \tau \) & \( -(1 / 2) g \tau^{2} \) & \( y_{0} \) & \( y_{0} \) & 1 \\
\hline \( 2 \tau \) & \( -4(1 / 2) g \tau^{2} \) & \( 4 y_{0} \) & \( 3 y_{0} \) & 3 \\
\hline \( 3 \tau \) & \( -9(1 / 2) g \tau^{2} \) & \( A \) & \( 5 y_{0} \) & 5 \\
\hline \( 4 \tau \) & \( -16(1 / 2) g \tau^{2} \) & \( 16 y_{0} \) & \( 7 y_{0} \) & 7 \\
\hline \( 5 \tau \) & \( -25(1 / 2) g \tau^{2} \) & \( 25 y_{0} \) & \( 9 y_{0} \) & 9 \\
\hline \( 6 \tau \) & \( -36(1 / 2) g \tau^{2} \) & \( 36 y_{0} \) & \( B \) & 11 \\
\hline
\end{tabular}
(a) \( A \rightarrow 9 y_{0} ; B \rightarrow 11 y_{0} \)
(b) \( A \rightarrow 11 y_{0} ; B \rightarrow 9 y_{0} \)
(c) \( A \rightarrow \frac{9 y_{0}}{2} ; B \rightarrow 11 y_{0} \)
(d) \( A \rightarrow 9 y_{0} ; B \rightarrow \frac{11 y_{0}}{2} \)
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