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Mathematics · Oct / Nov 2021 · Paper 22 · Question 11

0580

As printed in the paper

The question as text

A car starts its journey by accelerating from rest at a constant rate of 0.7 m/s2 for 20 seconds, before reaching a constant speed of 14 m/s. It then travels at 14 m/s for a distance of 210 m. The car then decelerates at a constant rate of 1.4 m/s2, before coming to a stop. On the grid, complete the speed–time graph for the car’s journey. 0 0 2 4 6 8 10 12 14 16 5 10 15 20 Time (s) Speed (m/s) 25 30 35 40 45 50 [3]

Read automatically from the paper; the printed page above is exact.

Show the answer and mark scheme

Straight line from (20, 14) to (35, 14) and straight line from (35, 14) to (45, 0) [3]

M1 for 210 ÷ 14 soi

M1 for 14 ÷ 1.4 or any line with gradient –1.4 ending at x axis

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