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Starting from the origin at time \( t=0 \), with initial velocity \( 5 \hat{j} \mathrm{~m} / \mathrm{s} \), a particle moves in the \( x-y \) plane with a constant acceleration of \( (10 \hat{i}+4 \hat{j}) \mathrm{m} / \mathrm{s}^{2} \). At time \( t \), its coordinates are \( \left(20 \mathrm{~m}, y_{0} \mathrm{~m}\right) \). The values of \( t \) and \( y_{0} \) are, respectively
(a) \( 4 \mathrm{~s} \) and \( 52 \mathrm{~m} \)
(b) \( 2 \mathrm{~s} \) and \( 24 \mathrm{~m} \)
(c) \( 5 \mathrm{~s} \) and \( 25 \mathrm{~m} \)
(d) \( 2 \mathrm{~s} \) and \( 18 \mathrm{~m} \)
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