O-LevelMathematicsAlgebra and graphs4024/11 · Oct/Nov 2018 · Q245 Marks
The diagram is the speed-time graph of part of a train's journey. [Figure 24.1] The train slows down uniformly from a speed of 44 m/s to a speed of 20 m/s in a time of 10 seconds. It then continues at a constant speed of 20 m/s.
- (a)Find the deceleration when t = 5.[1]
- (b)Find the speed when t = 5.[1]
- (c)The distance travelled from t = 0 to t = 10 is equal to the distance travelled from t = 10 to t = 10 + k. Find k.[3]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.
- 24(a) 2.4 oe final answer [1]
- 24(b) 32 [1]
- 24(c) 16 nfww [3]
- M2 for 1/2 × (44 + 20) × 10 oe = 20k oe
- or M1 for 1/2 × (44 + 20) × 10 oe, or for 20k oe = their distance travelled from t = 0 to t = 10
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