Two blocks and a pulley are connected by inextensible cords as shown. The relative velocity of block A with respect to block B is 2.5 ft/s to the left at time t = 0 and 1.25 ft/s to the left when t = 0.25 s. Knowing that the angular acceleration of the pulley is constant, find (a) the relative acceleration of block A with respect to block B, (b) the distance block A moves relative to block B during the interval 0 ≤ t ≤ 0.25s.

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12 in.