Two blocks, A and B, are initially held together by a string as shown in the figure; the mass of block A is of 2 kg and the mass of block B is 6 kg. The massless spring in-between the two blocks has a spring constant of $k = 655 \, N/m$ and is initially compressed by 45 cm. The two blocks are initially moving together with a speed of 1.0 m/s. When the string is cut (i.e., when the blocks are released), the spring expands and pushes the two blocks apart. What is the speed (in m/s) of the block A? You may assume that the surface is horizontal and frictionless. HINT: As shown in the figure, $v_A$ and $v$ must be in opposite directions (i.e., have opposite sign).