Force on a particle moving in straight line is given by $\overrightarrow{F}=6t^2\widehat{i}-3t\widehat{j}$  and velocity is $\overrightarrow{v}=3t\widehat{i}+6t\widehat{j}$ . Find power at t = 2.

<p><span lang="EN-IN"> &lt;!- [if gte mso 9]>&lt;xml&gt; <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1025" DrawAspect="Content" ObjectID="_1820306631"> </o:OLEObject>&lt;/xml&gt;&lt;! [endif]-&gt;</span></p><p><span lang="EN-IN"><span contenteditable="false"> <math> <mrow> <mi>P</mi> <mo>=</mo> <mover accent="true"> <mi>F</mi> <mo>→</mo> </mover> <mo>⋅</mo> <mover accent="true"> <mi>v</mi> <mo>→</mo> </mover> </mrow> </math> </span></span></p><p><span lang="EN-IN">= 18t⁴ – 18t²</span></p><p><span lang="EN-IN">-&gt;P (t = 2) =18 [16 − 4] = 216 W</span></p>

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