A particle is moving in \( x y \)-plane. At certain instant, the components of its velocity and ...

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A particle is moving in \( x y \)-plane. At certain instant, the components of its velocity and acceleration are as follows \( v_{x}=3 \mathrm{~m} / \mathrm{s}, v_{y}=4 \mathrm{~m} / \mathrm{s}, a_{x}=2 \mathrm{~m} / \mathrm{s}^{2} \) and \( a_{y}=1 \mathrm{~m} / \mathrm{s}^{2} \). The rate of change of speed at this moment is
(a) \( 4 \mathrm{~m} / \mathrm{s}^{2} \)
(b) \( 2 \mathrm{~m} / \mathrm{s}^{2} \)
(c) \( \sqrt{3} \mathrm{~m} / \mathrm{s}^{2} \)
(d) \( \sqrt{5} \mathrm{~m} / \mathrm{s}^{2} \)
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