A car moves along a horizontal road with constant velocity v =v0xi until it encounters a smooth inclined hill which it climbswith constant velocity v = v1xi + v1yj as indicated in the figure.The car uniformly and instantaneously changes its velocity at theroad-hill intersection. Let the origin of the Cartesian coordinatesystem be at the car?s initial position. If the car moves for equaltimes along the road and hill create an expression for its averagevelocity vector vave in terms of v0x v1x and v1y during the totaltime interval and the unit vectors i and j.