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A motorcycle starts from rest and travels to the right along a straight track, such that...

A motorcycle starts from rest and travels to the right along a straight track, such that it accelerates at a = (8 + t/6) m/s2 where t is in seconds from rest. Then at t = 12 seconds, the motorcycle decelerates at 1.5 m/s2 until the motorcycle stops at t = t'. Determine the displacement of the motorcycle from t = 0 to t = t'.

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