A car with a mass Mc$=1020$ kg is traveling west through an intersection with a speed of VTC$=7\mathrm{.}83$ m$/$s fails to yield. The vehicles collide, they stick together and they slide on the asphalt which has a coefficient of kinetic friction of up$=0\mathrm{.}500.$ Associate the positive x direction with the east and the positive y direction with north. Using the symbols provided in the palette below as opposed to their numeric equivalents, enter an expression in Cartesian unit vector notation, for the velocity of the vehicles immediately after the collision as they begin to slide as a composite object