A body of mass 1 kg begins to move under the action of a time dependent force\[\vec{F}=\left( 2t\hat{i}+3{{t}^{2}}\hat{j} \right]) N,\], where \[\hat{i} and \hat{j}\]are unit vectors alogn x and y axis. What power will be developed by the force at the time t?

\[\left( 2{{t}^{2}}+3{{t}^{3}} \right)W\]

\[\left( 2{{t}^{2}}+4{{t}^{4}} \right)W\]

\[\left( 2{{t}^{3}}+3{{t}^{4}} \right)W\]

\[\left( 2{{t}^{3}}+3{{t}^{5}} \right)W\]

A body of mass 1 kg begins to move under the action of a time dependen

1.	A body of mass 1 kg begins to move under the action of a time dependent force\[\vec{F}=\left( 2t\hat{i}+3{{t}^{2}}\hat{j} \right]) N,\], where \[\hat{i} and \hat{j}\]are unit vectors alogn x and y axis. What power will be developed by the force at the time t?
A.	\[\left( 2{{t}^{2}}+3{{t}^{3}} \right)W\]
B.	\[\left( 2{{t}^{2}}+4{{t}^{4}} \right)W\]
C.	\[\left( 2{{t}^{3}}+3{{t}^{4}} \right)W\]
D.	\[\left( 2{{t}^{3}}+3{{t}^{5}} \right)W\]
Answer» E.