O-LevelMathematicsAlgebra and graphs4024/12 · Oct/Nov 2018 · Q244 Marks

A train travels between two stations, starting and finishing at rest. For this journey it * accelerates uniformly, from rest, for the first 30 seconds until it reaches a speed of 20 m/s * travels at a constant speed of 20 m/s for the next 60 seconds * slows down uniformly for the last 20 seconds until it stops.

(a)On the grid, draw the speed-time graph for this journey. [Speed-time graph grid][2]
(b)Calculate the distance between the stations.[2]

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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.

[2] ruled line from (0, 0) to (30, 20) and ruled line from (30, 20) to (90, 20) and ruled line from (90, 20) to (110, 0)
B1 for a graph with one error
[2] 1700 nfww
M1 for a correct attempt to find a relevant area under the graph,
or B1 for two of 300, 1200, 200.

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About this question

Topic

Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.

Source

O-Level Mathematics, Oct/Nov 2018 Paper 1 Variant 2, question 24.

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