Speed · Grade 6

Speed tells you how far something travels each second. Most journeys speed up and slow down, so we often work out an average speed. Distance–time graphs show a journey at a glance: the steeper the line, the faster the motion.

Key facts

  • Speed = distance ÷ time (v = d/t). Rearrange to d = vt and t = d/v.
  • Average speed = total distance ÷ total time (include any stops).
  • To change km/h to m/s divide by 3.6; m/s to km/h multiply by 3.6.
  • Distance–time graph: gradient = speed; a horizontal line means stationary; a curve means changing speed.
  • Typical speeds: walking 1.5 m/s, cycling 6 m/s, car on a motorway 30 m/s, sound in air 340 m/s.
  • Stopping distance = thinking distance (speed × reaction time) + braking distance.

Worked examples

Example 1

A cyclist rides 3.6 km in 10 minutes. Find her average speed in m/s.

Answer: 6 m/s

Example 2

A bus travels 20 km at 40 km/h, then 30 km at 60 km/h. Find its average speed.

Answer: 50 km/h

Example 3

A driver at 25 m/s has a reaction time of 0.8 s and a braking distance of 48 m. Find the stopping distance.

Answer: 68 m

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