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Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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12 questions

SA-FM-VF-Q011 markL1 FoundationNon-calculatorv dv/dx
If the force depends on displacement xx, write acceleration as
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-VF-X012 marksL1 FoundationNon-calculatorF(t), F(v)
A 22 kg particle starts from rest under force F=4tF=4t N. Find its speed at t=3t=3 s.

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-VF-X051 markL1 FoundationCalculatorResistance
A 0.50.5 kg ball falls with air resistance 0.7v0.7v N. Find its terminal speed (g=9.8g=9.8).

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-VF-G013 marksL2 StandardNon-calculatorF(t), F(v)
A 22 kg particle starts from rest under force F=6tF=6t N. Find its speed at t=2t=2.

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-VF-X022 marksL2 StandardCalculatorResistance
A 1.51.5 kg particle moves against resistance 3v3v N only, starting at 88 m s⁻¹. Find its speed after 11 s (3 s.f.).

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-VF-X032 marksL2 StandardNon-calculatorResistance
For the same particle, find the total distance it travels.

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-VF-X042 marksL2 StandardNon-calculatorv dv/dx
A 11 kg particle moves under force −9x-9x N and has speed 66 m s⁻¹ at x=0x=0. Find its greatest distance from OO.

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-VF-X062 marksL2 StandardCalculatorResistance
An 8080 kg skydiver falls with air resistance 0.2v20.2v^2 N. Find the terminal speed (3 s.f., g=9.8g=9.8).

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-VF-0013 marksL3 ExamCalculatorResistance
A 22 kg particle moves with resistance 4v4v N only, starting at 1010 m s−1^{-1}. Find its speed after 0.50.5 s (3 s.f.).

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-VF-0023 marksL3 ExamCalculatorv dv/dx
A 11 kg particle is repelled from OO by a force 8x2\frac8{x^2} N. It starts at rest at x=1x=1. Find its speed at x=4x=4 (3 s.f.).

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-VF-0033 marksL3 ExamNon-calculatorResistance
A 22 kg particle moves with resistance 4v4v N only, starting at 1010 m s−1^{-1}. Find the total distance it travels.

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-VF-0042 marksL4 ChallengingCalculatorResistance
A 7070 kg skydiver falls with air resistance 0.25v20.25v^2 N. Find the terminal speed in m s−1^{-1} (g=9.8g=9.8, 3 s.f.).

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Salam Academy Original Practice · Proposed mark scheme