A-Level MathematicsYear 2020Q2
4 2. A truck of mass 1200 kg is moving along a straight horizontal road. At the instant when the speed of the truck is v m s–1, the resistance to the motion of the truck is modelled as a force of magnitude (900 + 9v) N. The engine of the truck is working at a constant rate of 25 kW. (a) Find the deceleration of the truck at the instant when v = 25 (4) Later on, the truck is moving up a straight road that is inclined at an angle θ to the horizontal, where sin θ = 1 20 At the instant when the speed of the truck is v m s–1, the resistance to the motion of the truck from non‑gravitational forces is modelled as a force of magnitude (900 + 9v) N. When the engine of the truck is working at a constant rate of 25 kW the truck is moving up the road at a constant speed of V m s–1. (b) Find the value of V. (5) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________
Paper Source:9FM0_3C_que_20201021.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)