A-LevelMathematicsMechanics9709/43 · May/June 2017 · Q56 Marks
A particle is projected vertically upwards from a point O with a speed of 12 m s⁻¹. Two seconds later a second particle is projected vertically upwards from O with a speed of 20 m s⁻¹. At time t s after the second particle is projected, the two particles collide.
- (i)Find t.[5]
- (ii)Hence find the height above O at which the particles collide.[1]
Mark scheme
Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.
- B1 Second particle
- M1 Uses s = ut + ½ at² for first particle
- *A1
- DM1 Solves S₁ = S2
- A1 t = 1/7 or ≈ 0.143
- B1
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