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Your calculations are correct. By applying Newton's second law (Fnet = ma), you found the acceleration to be 3 m/s^2. Then, using the kinematic equation Vf = Vo + at, where Vo is the initial velocity (which is 0 in this case since the skater starts from rest), and t is the time (0.210 s), you correctly found the final velocity to be 0.63 m/s west.
Well done on solving the problem! Is there anything else I can help you with?