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The coordinates of a moving particle at any time \( t \) are given by \( x=a t^{2} \) and \( y=b t^{2} \). The speed of the particle is
(a) \( 2 \mathrm{t}(\mathrm{a}+\mathrm{b}) \)
(b) \( 2 \mathrm{t} \sqrt{\left(a^{2}+b^{2}\right)} \)
(c) \( 2 \mathrm{t} \sqrt{\left(\mathrm{a}^{2}-\mathrm{b}^{2}\right)} \)
(d) \( \sqrt{\left(a^{2}+b^{2}\right)} \)
\( \mathrm{P} \)
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