The block of mass m is attached to the frame by the spring of stiffness k and moves hori...

The block of mass m is attached to the frame by the spring of stiffness k and moves horizontally with negligible friction within the frame. The frame and block are initially at rest with x = x₀, the uncompressed length of the spring. If the frame is given a constant acceleration a₀, determine the maximum velocity ?_max = (v_rel)_max of the block relative to the frame.