A particle starts from rest at A and moves to B with constant acceleration. (a) The particle travels 3 m in the first second, and describes seven-sixteenths of the full distance travelled in the last 2 seconds of its motion. Find: (i) how long the particle takes to travel from A to B (ii) the distance from A to B. () A lorry travelling with constant speed of 42 m s, passes Palong a straight level road towards Q, where |PQ| = 2936.5 m. Fifteen seconds later it starts to decelerate uniformly at 0.6 m s?. At the same time as the lorry passes P, a van starts from rest at Q and accelerates uniformly at 2 m s. When the van reaches its maximum speed of 28 ms, it continues at this speed for the rest of the journey. (i) The lorry and van meet after t seconds. Find the value of t. (ii) Find the distance between the lorry and the van after 56 seconds.