O-LevelMathematicsAlgebra and graphs4024/12 · Oct/Nov 2019 · Q255 Marks
The diagram is the speed-time graph representing part of a train's journey. The train slows down uniformly from a speed of 40 m/s to a speed of 8 m/s in a time of 10 seconds. It then accelerates uniformly during the next 50 seconds. [Figure X.X]
- (a)Find the deceleration between t = 0 and t = 10.[1]
- (b)Find the distance travelled from t = 0 and t = 10.[2]
- (c)Between t = 10 and t = 60, the acceleration is 0.4 m/s². Calculate the speed when t = 60.[2]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.
- [1] (a) 3.2 oe
- [2] (b) 240 M1 for ½ × 10 × (8 + 40) ое
- [2] (c) 28 M1 for (60 – 10) × 0.4 ое or for 0.4 = (v-8)/(60-10) ое
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