Pearson Edexcel Level 3 GCE,. Further Mathematics Advanced PAPER 3C: Further Mechanics 1. MOST EXAMINABLE

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A van of mass 900kg is moving along a straight horizontal road. At the instant when the speed of the van is v ms−1, the resistance to the motion of the van is modelled as a force of magnitude (500... + 7v) N. When the engine of the van is working at a constant rate of 18kW, the van is moving along the road at a constant speed Vms−1 (a) Find the value of V. (5) Later on, the van is moving up a straight road that is inclined to the horizontal at an angle θ , where sin θ = 1 21 At the instant when the speed of the van is vms−1, the resistance to the motion of the van from non-gravitational forces is modelled as a force of magnitude (500 + 7v) N. The engine of the van is again working at a constant rate of 18kW. (b) Find the acceleration of the van at the instant when v = 15 (4) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 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_____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________4 *P66800A0428* Question 1 continued _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 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_____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________*P66800A0528* Turn over 5 Question 1 continued _____________________________________________________________________________________ ____________________________________________ [Show More]

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