O-LevelMathematicsAlgebra and graphs4024/12 · May/June 2017 · Q184 Marks
The diagram is the speed-time graph for 25 seconds of a car's journey. [Figure: Speed-time graph. Speed (m/s) on y-axis, Time (t seconds) on x-axis. Graph starts at (0, v), linearly decreases to (15, 12), then is constant at (15, 12) to (25, 12).] The car slows down uniformly from a speed of v m/s to a speed of 12 m/s in 15 seconds. It then travels at constant speed for a further 10 seconds.
- (a)The retardation of the car is 0.4 m/s². Calculate the value of v.[2]
- (b)Calculate the distance travelled by the car from t = 0 to t = 25.[2]
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Mark scheme
Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.
- [2] (a) 18
- M1 for (v-12)/15 or (12-v)/15 oe
- [2] (b) 345
- B1FT for a correct partial area: 120 or 225 or 300 or 45 or 180
- or M1FT for 12 × 25 + 0.5 × 15 × (their18 – 12) oe
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