Mathematics (AS & A Level) · Oct / Nov 2016 · Paper 41 · Question 5

t (s) v (m s−1) 90 70 40 30 10 0 5 V The diagram shows a velocity-time graph which models the motion of a cyclist. The graph consists of five straight line segments. The cyclist accelerates from rest to a speed of 5 m s−1 over a period of 10 s, and then travels at this speed for a further 20 s. The cyclist then descends a hill, accelerating to speed V m s−1 over a period of 10 s. This speed is maintained for a further 30 s. The cyclist then decelerates to rest over a period of 20 s.

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