A body of mass $1 \,\, kg$ is acted upon by a force $\vec F = 2\sin 3\pi t\,\hat i + 3\cos 3\pi t\,\hat j$ find its position at $t = 1 \,\, sec$ if at $t = 0$ it is at rest at origin.
A body of mass $1 \,\, kg$ is acted upon by a force $\vec F = 2\sin 3\pi t\,\hat i + 3\cos 3\pi t\,\hat j$ find its position at $t = 1 \,\, sec$ if at $t = 0$ it is at rest at origin.
- A
$\left( {\frac{3}{{3{\pi ^2}}},\frac{2}{{9{\pi ^2}}}} \right)$
- B
$\left( {\frac{2}{{3{\pi ^2}}},\frac{2}{{3{\pi ^2}}}} \right)$
- C
$\left( {\frac{2}{{3\pi }},\frac{2}{{3{\pi ^2}}}} \right)$
- D
none of these
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