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Grade 8 Science · Unit 2: Forces and motion

Speed and distance–time graphs

Calculate speed and read distance–time graphs.

Speed tells you how far something travels in a certain time. Speed = distance ÷ time. If distance is in metres and time in seconds, speed is in metres per second (m/s). The same formula rearranges: distance = speed × time, and time = distance ÷ speed. Most journeys change speed, so we often work out the average speed for the whole trip.

A distance–time graph shows a journey. A straight sloping line means a steady speed, and a steeper line means a faster speed. A flat, horizontal line means the object is stationary: time passes but the distance does not change. The gradient (slope) of the line equals the speed.

time (s)distance (m)102030405060501001502002503003504000

Worked example

A cyclist travels 300 m in 60 s. What is her average speed?

  1. Speed = distance ÷ time.
  2. 300 ÷ 60 = 5.

Answer:Her speed is 5 m/s.

Key words

speed
distance travelled per unit of time
average speed
total distance ÷ total time
stationary
not moving
gradient
the steepness of a line
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NGSS-referenced: MS-PS3-1