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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-FK-G012 marksL1 FoundationNon-calculatorVectors
r=t2i+(4t−t2)j\mathbf r=t^2\mathbf i+(4t-t^2)\mathbf j. Find the time when the particle moves parallel to i\mathbf i.

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-FK-Q011 markL1 FoundationNon-calculatorVectors
To find position from velocity vector v(t)\mathbf v(t) you
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-FK-X021 markL1 FoundationNon-calculatorVectors
For the same particle, find the i\mathbf i-component of acceleration at t=1t=1.

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-FK-X032 marksL1 FoundationNon-calculatorVectors
v=2ti+3j\mathbf v=2t\mathbf i+3\mathbf j and the particle starts at the origin. Find its xx-coordinate at t=2t=2.

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-FK-0012 marksL2 StandardCalculatorVectors
For the same particle, find the speed at t=1t=1 (3 s.f.).

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-FK-0021 markL2 StandardNon-calculatorVectors
For the same particle, find the j\mathbf j-component of acceleration.

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-FK-X012 marksL2 StandardCalculatorVectors
r=t3i+2tj\mathbf r=t^3\mathbf i+2t\mathbf j. Find the speed at t=1t=1 (3 s.f.).

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-FK-X042 marksL2 StandardNon-calculatora(v), a(x)
A particle has a=−xa=-x and v=3v=3 at x=0x=0. Find vv when x=5x=\sqrt5.

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-FK-X062 marksL2 StandardNon-calculatorVectors
r=t2i+(t3−3t)j\mathbf r=t^2\mathbf i+(t^3-3t)\mathbf j. Find the positive time when the particle moves parallel to i\mathbf i.

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-FK-0033 marksL3 ExamCalculatora(v), a(x)
A particle has a=−4xa=-4x and v=6v=6 at x=0x=0. Find vv at x=1x=1 (3 s.f.).

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-FK-X052 marksL3 ExamNon-calculatora(v), a(x)
A particle has a=−2va=-2v and starts at 1010 m s⁻¹. Find the time for its speed to halve, exactly.

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Salam Academy Original Practice · Proposed mark scheme
SA-FM-FK-0042 marksL4 ChallengingNon-calculatora(v), a(x)
For the same particle, find the greatest distance from OO.

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Salam Academy Original Practice · Proposed mark scheme