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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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14 questions

SA-9709-P4-KM-0033 marksL1 FoundationCalculatorVertical motion
A stone is dropped from rest from a height of 4545 m. Find the time to reach the ground and its speed on impact.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-KM2-0013 marksL1 FoundationCalculatorVertical motion
A ball is dropped from rest from a height of 8080 m. Find the time it takes to reach the ground and its speed on impact.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-KM2-0023 marksL1 FoundationCalculatorVertical motion
A ball is thrown vertically upwards at 25 m s−125\ \text{m s}^{-1}. Find the time it takes to reach its greatest height, and that height above the point of projection.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-KM2-0072 marksL1 FoundationCalculatorVertical motion
A ball is thrown vertically upwards at 18 m s−118\ \text{m s}^{-1} and caught at the same height. Find the time it spends in the air.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-KM2-0101 markL1 FoundationCalculatorVertical motion
A ball thrown vertically upwards is at its highest point. Taking up as positive, which is true?
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-KM2-0112 marksL1 FoundationCalculatorVertical motion
A ball thrown vertically upwards reaches a greatest height of 2020 m above the point of projection. Find its speed of projection.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-KM-0024 marksL2 StandardCalculatorVertical motion
A ball is thrown vertically upwards from ground level at 15 m s−115\ \text{m s}^{-1}. Find its greatest height and the time until it returns to the ground.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-KM2-0034 marksL2 StandardCalculatorVertical motion
A stone is thrown vertically downwards at 5 m s−15\ \text{m s}^{-1} from the top of a tower 6060 m high. Find the time it takes to reach the ground and its speed on impact.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-KM2-0045 marksL2 StandardCalculatorVertical motion
A stone is thrown vertically upwards at 12 m s−112\ \text{m s}^{-1} from the top of a cliff 3232 m above the sea. Find the time it takes to reach the sea and its speed as it does so.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-KM2-0054 marksL2 StandardCalculatorHeights and two objects
A ball is thrown vertically upwards from ground level at 20 m s−120\ \text{m s}^{-1}. Find the two times at which it is 1515 m above the ground, and hence how long it spends at least 1515 m above the ground.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-KM2-0084 marksL2 StandardCalculatorHeights and two objects
A ball is projected vertically upwards. One second later it is 1010 m above the point of projection and still rising. Find the speed of projection and the greatest height reached.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-KM-0114 marksL3 ExamCalculatorVertical motion
A ball is thrown vertically upwards at 20 m s−120\ \text{m s}^{-1} from a point 2525 m above the ground. Find the time until it hits the ground.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-KM2-0065 marksL3 ExamCalculatorHeights and two objects
Ball AA is released from rest 4545 m above the ground. At the same instant, ball BB is projected vertically upwards from the ground directly below AA at 30 m s−130\ \text{m s}^{-1}. Find the time when they collide and their height above the ground at that moment.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-KM2-0096 marksL4 ChallengingCalculatorHeights and two objects
Particle PP is projected vertically upwards from OO at 20 m s−120\ \text{m s}^{-1}. One second later, particle QQ is projected vertically upwards from OO, also at 20 m s−120\ \text{m s}^{-1}. Find the time after PP was projected when the particles meet, and their height above OO.

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Salam Academy Original Practice · Proposed mark scheme