A-LevelMathematicsMechanics9709/52 · May/June 2018 · Q16 Marks
A small ball B is projected from a point O on horizontal ground towards a point A 12m above the ground. 0.9 s after projection B has travelled a horizontal distance of 20m and is vertically below A [Figure 1.1].
- (i)Find the angle and the speed of projection of B.[4]
- (ii)Calculate the distance AB when B is vertically below A.[2]
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Mark scheme
Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.
- [M1] (i) tanθ = 12/20
- [A1] (i) θ ( = 30.96) = 31(.0)°
- [M1] (i) Vcos30.96 = 20/0.9
- [A1] (i) V = 25.9 m s⁻¹
- [M1] (ii) H = 25.9sin31 × 0.9 - g x 0.9²/2 ( = 7.948)
- [A1] (ii) AB ( = 12–7.95) = 4.05 m
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