O-LevelMathematicsAlgebra and graphs4024/11 · Oct/Nov 2022 · Q174 Marks
17 The diagram shows the speed-time graph of Sam's journey from home to work. [Figure shows a speed-time graph. Speed (m/s) on y-axis (max 20), Time (seconds) on x-axis (max 600). The graph goes from (0,0) to (120,20), then flat to (480,20), then down to (600,0).] (a) Calculate the acceleration, in m/s², for the first 2 minutes of Sam's journey. (b) Calculate Sam's average speed, in m/s, for the whole journey.
- (a)Calculate the acceleration, in m/s², for the first 2 minutes of Sam's journey.[1]
- (b)Calculate Sam's average speed, in m/s, for the whole journey.[3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.
- [1] 20/120 oe
- [3] 16
- B2 for total distance = 9600
- OR M1 for total distance = (360+600)/2 × 20 or 1/2 × 20 × 120 + 20 × 360 + 1/2 × 20 × 120 oe
- OR M1 for average speed = their9600 / 600
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