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If some function say \( \mathrm{y} \) varies linearly with \( \mathrm{x} \) then average value of \( y \) in interval \( x_{1}^{\cdot} \leq x \leq x_{2} \) is given by
\( \mathrm{P} \) \( y_{\text {average }}=\frac{y\left(x_{1}\right)+y\left(x_{2}\right)}{2} \)

W
A particle is moving in xy plane according to \( x=3 t^{2} \) and \( y=4 t^{2} \) where \( x \) and \( y \) are in meters and \( t \) is in second. Find the magnitude of average velocity of the particle in time interval \( 0 \leq t \leq 1 \mathrm{~s} \).
(1) \( 5 \mathrm{~m} / \mathrm{s} \)
(2) \( 10 \mathrm{~m} / \mathrm{s} \)
(3) \( 15 \mathrm{~m} / \mathrm{s} \)
(4) \( 20 \mathrm{~m} / \mathrm{s} \)
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