A time dependent force \( F=6 t \) acts on a particle of mass \( 1 \mathrm{~kg} \). If the parti...

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A time dependent force \( F=6 t \) acts on a particle of mass \( 1 \mathrm{~kg} \). If the particle starts from rest, the work done by the force during the first \( 1 \mathrm{sec} \). will be
[JEE (Main) 2017]
(a) \( 18 \mathrm{~J} \)
(b) \( 4.5 \mathrm{~J} \)
(c) \( 22 J \)
(d) \( 9 J \)
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