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A-Level MathematicsYear 2023Q2

4   2. A racing car of mass 750 kg is moving along a straight horizontal road at a constant speed of U km h–1. The engine of the racing car is working at a constant rate of 60 kW. The resistance to the motion of the racing car is modelled as a force of magnitude 37.5v N, where v m s–1 is the speed of the racing car. Using the model, (a) find the value of U (4) Later on, the racing car is accelerating up a straight road which is inclined to the horizontal at an angle α, where sin α = 5 49 . The engine of the racing car is working at a constant rate of 60 kW. The total resistance to the motion of the racing car from non-gravitational forces is modelled as a force of magnitude 37.5v N, where v m s–1 is the speed of the racing car. At the instant when the acceleration of the racing car is 2 m s–2, the speed of the racing car is V m s–1 Using the model, (b) find the value of V (4) ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Turn over 5   Question 2 continued _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:EASMF3118fm0-25-que-20230520.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)