A-LevelMathematicsMechanics9709/43 · May/June 2022 · Q25 Marks
A particle P is projected vertically upwards from horizontal ground. P reaches a maximum height of 45 m. After reaching the ground, P comes to rest without rebounding.
- (a)Find the speed at which P was projected.[2]
- (b)Find the total time for which the speed of P is at least 10ms⁻¹.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.
- [M1] For use of v² = u² + 2as OE complete method that would lead to finding u
- [A1] Speed = 30 ms⁻¹
- [M1] For use of v = u + at to find time to 10 ms⁻¹ or use of 'suvat' to find time for one stage of motion
- [M1] 2 × time to 10 ms⁻¹ OE
- [A1] Total time = 4 s
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