O-LevelAdditional MathematicsDifferentiation and integration4037/11 · May/June 2023 · Q44 Marks
4 The diagram shows the velocity-time graph for a particle travelling in a straight line with velocity, vms⁻¹, at time t seconds. When t = 30 the velocity of the particle is Vms⁻¹. The particle travels 800 metres in 45 seconds. [Figure 4.1]
- (a)Find the value of V.[2]
- (b)Find the acceleration of the particle when t = 35.[2]
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Mark scheme
Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.
- [2] M1 For attempt to find the area, allow one error and one omission.
- 1/2 (10 × 10) + (10 × 10) + 1/2 (10(10 + V)) + 15V/2 = 800
- A1 V = 48
- [2] M1 Allow omission of negative sign.
- (-their V)/15
- A1 FT on their V but must be negative.
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