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A particle moves along positive branch of the curve, \( y=\frac{x}{2} \), where \( x=\frac{t^{3}}{3}, x \) and \( y \) are measured in meters and
\( \mathrm{P} \) \( t \) in seconds, then
(1) The velocity of particle at \( t=1 \mathrm{~s} \) is \( \hat{i}+\frac{1}{2} \hat{j} \).
(2) The velocity of particle at \( t=1 \mathrm{~s} \) is \( \frac{1}{2} \hat{i}+\hat{j} \).
(3) The acceleration of particle at \( t=2 \mathrm{~s} \) is \( 2 \hat{i}+\hat{j} \).
(4) The acceleration of particle at \( t=2 \mathrm{~s} \) is \( \hat{i}+2 \hat{j} \).
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