Under the action of a force, a \( 2 \mathrm{~kg} \) body moves such that its position \( x \) as....

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Under the action of a force, a \( 2 \mathrm{~kg} \) body moves such that its position \( x \) as a function of time \( t \) is given by \( x=\frac{t^{2}}{3} \), where \( x \) is in metres and \( t \) is seconds. The work done by the force in first two seconds is
(1) \( 1600 \mathrm{~J} \)
(2) \( 160 \mathrm{~J} \)
(3) \( 16 \mathrm{~J} \)
(4) \( \frac{16}{9} \stackrel{\text { AAt }}{J} \)


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