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A-Level MathematicsYear 2022Q2

4 2. A cyclist and her cycle have a combined mass of 60 kg. The cyclist is moving along a straight horizontal road and is working at a constant rate of 200 W. When she has travelled a distance x metres, her speed is v m s–1 and the magnitude of the resistance to motion is 3v2 N. (a) Show that d d v x v v = − 200 3 60 3 2 (4) The distance travelled by the cyclist as her speed increases from 2 m s–1 to 4 m s–1 is D metres. (b) Find the exact value of D (3) ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:9fm0-4c-que-20220628.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)