Two particles A and B start from rest at the origin s = 0 and move along a straight line such that a_A = (at − b) and a_B = (ct₂ − d), where t is in seconds. Determine the distance between them at t and the total distance each has traveled in time t. Given:

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a=6 ft - 3 b = 3 ft c = 12 d = 8 ft t = 4 s