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A-Level MathematicsYear 2022Q1

Turn over 5 Question 1 continued ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (Total for Question 1 is 8 marks) 6 2. α 150 kg 600 kg Figure 1 A van of mass 600 kg is moving up a straight road which is inclined at an angle α to the horizontal, where sin α = 1 15 . The van is towing a trailer of mass 150 kg. The van is attached to the trailer by a towbar which is parallel to the direction of motion of the van and the trailer, as shown in Figure 1. The resistance to the motion of the van from non-gravitational forces is modelled as a constant force of magnitude 200 N. The resistance to the motion of the trailer from non-gravitational forces is modelled as a constant force of magnitude 100 N. The towbar is modelled as a light rod. The engine of the van is working at a constant rate of 12 kW. Find the tension in the towbar at the instant when the speed of the van is 9 m s–1 (8) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:9fm0-3c-que-20220623.pdf

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Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)

SubjectMathematics

Official MarksVariable (2–6 marks)