A particle is moving in \( x y \) plane. Its velocity and acceleration at a certain instant is g...

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A particle is moving in \( x y \) plane. Its velocity and acceleration at a certain instant is given by \( \vec{v}=3 \hat{i}+4 \hat{j} \mathrm{~m} / \mathrm{s} \) and \( \vec{a}=5 \hat{i}+\frac{15}{4} \hat{j} \). Find the rate of change of speed (in \( \mathrm{m} / \mathrm{s}^{2} \) ) of particle at that instant.
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