A-LevelMathematicsMechanics9709/41 · May/June 2024 · Q14 Marks
A car starts from rest and accelerates at 2ms⁻² for 10s. It then travels at a constant speed for 30s. The car then uniformly decelerates to rest over a period of 20 s.
- (a)Sketch a velocity-time graph for the motion of the car.[2]
- (b)Find the total distance travelled by the car.[2]
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 (May/June 2024). The mark or mark type is shown in brackets.
- [B1] Trapezium on the t-axis starting at (0, 0)
- [B1] Fully correct with correct labels
- [M1] Must be considering the area of a trapezium. Allow a single slip in one term only. Must be adding all terms together if considering two triangles and a rectangle. Using their 20 from (a). If no value for the height shown on the graph in (a), then it must be correct.
- [A1FT] FT their 20 (= 45 × their 20) but A0 FT if using 2.
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