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$\begingroup$your problem is in the formulation, which is out of scope of this site. Two things I see, Va should be positive consistent with the direction of the arrow, but you need to follow that convention through all the equations. Also the energy of B is not (vBx+vBy)^2 it is vBx^2+vBy^2.$\endgroup$
vAo^2 == vA^2 + vB^2 + vC^2
this. $\endgroup$Va
should be positive consistent with the direction of the arrow, but you need to follow that convention through all the equations. Also the energy ofB
is not(vBx+vBy)^2
it isvBx^2+vBy^2
. $\endgroup$