A sled is traveling down along a curve which can be approximated by the parabola y = x². When point B on the runner is coincident with point A on the curve (x_A = 2m, y_A = 1 m), the speed if B is measured as v_B = 8 m/s and the increase in speed is dv_B/dt = 4 m/s². Determine the magnitude of the acceleration of point B at this instant. 

 

a = 12.00 m/s²