Distance-time graphs
3 marks · NormalA cyclist travels a total distance of 6.3 km in 14 minutes. Calculate the cyclist’s average speed in m/s. Give your answer to 2 decimal places.
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7.50 m/s (±0.05)
Also accept: 7.5 m/s
Common mistakes: not converting km to m; not converting minutes to seconds
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Marking points
M1 · 1 mark · Converts 6.3 km to 6300 m and 14 min to 840 s.
M2 · 1 mark · Substitutes values into speed = distance/time formula.
A1 · 1 mark · Correct final answer, 7.50 m/s, to 2 decimal places and with correct unit.
Worked solution
Convert distance and time into SI units: Distance = 6.3 km = 6300 m Time = 14 min = 14 × 60 = 840 s Average speed, v = s / t = 6300 / 840 = 7.5 m/s (to 2 d.p.)