‹ Class 9 · Ch 4
Describing Motion Around Us · Principle 7 of 34

How fast on average?

Average speed is total distance divided by time.

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NCERT: 4.1.3 Average speed and average velocity

Think

Two runners

One runner covers 160 m in 16 s. Another covers the same 160 m in 32 s.

How would you compare how fast they went?

What this lesson covers

The idea

Average speed = total distance travelled ÷ time interval; since distance travelled has no direction, average speed has only a numerical value and no direction.

Two runners

One runner covers 160 m in 16 s. Another covers the same 160 m in 32 s.

How would you compare how fast they went?

  • Divide the distance by the time for each
  • Add the distance and the time for each
  • Use the distance, the time does not matter

Distance and time

Set the numbers asked for and read the average speed.

Distance per second

With 160 m in 16 s, each second of the run covered 10 m on average. With 100 m in 20 s, each second covered 5 m on average. Notice that the readout is just a number: nothing in it points left or right.

Average speed = total distance travelled ÷ time interval. Since distance travelled has no direction, average speed has only a numerical value and no direction.

Notes

Average speed = total distance travelled ÷ time interval. It has a numerical value only.

Check yourself

A girl runs 160 m in 16 s. What is her average speed?

Answer: 10 m s⁻¹

160 m ÷ 16 s = 10 m s⁻¹.

A cyclist travels 90 m in 15 s. What is her average speed?

Answer: 6 m s⁻¹

90 m ÷ 15 s = 6 m s⁻¹.

Average speed has…

Which is the formula for average speed?

  • both a numerical value and a direction. Distance travelled has no direction, so the average speed calculated from it has none either.
  • a numerical value only, with no direction — correct. Yes!
  • a direction only. Average speed is a numerical value. It has no direction.
  • Displacement ÷ time interval. That is the average velocity, which is found from displacement.
  • Time interval ÷ total distance travelled. This is upside down. Speed is the distance covered per unit time.
  • Total distance travelled ÷ time interval — correct. Yes!
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