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8.1.1 Typical everyday speeds

Typical speeds

Definition

Speed

The distance travelled by an object per unit time.

Definition

Typical speed

A rounded, approximate speed that represents a particular everyday activity or form of transport.

Definition

Estimate

An approximate value of a quantity worked out from sensible, rounded values rather than from exact measurements.

  1. Speed tells you how far an object travels in each second, and in physics it is measured in metres per second, m/s\text{m/s}m/s.
  2. Most everyday speeds are not fixed, because they change with the person, the vehicle, the route and the conditions.
  3. A typical speed is a sensible, rounded value that represents an activity, so it is an estimate rather than an exact measurement.
  4. Knowing a small set of typical speeds lets you estimate times and distances for everyday journeys.
  5. Typical speeds also let you check whether the answer to a calculation is realistic.
  6. Typical speeds are usually given to one or two significant figures, because more figures would suggest a precision that the estimate does not have.

Walking, running and cycling

  1. A person walking at a comfortable pace moves at about 1.5 m/s1.5\ \text{m/s}1.5 m/s, which is roughly two steps every second.
  2. A person running or jogging moves at about 3 m/s3\ \text{m/s}3 m/s, so running is roughly twice as fast as walking.
  3. A trained athlete sprinting can reach about 10 m/s10\ \text{m/s}10 m/s, but only over a short distance.
  4. A person cycling on a road moves at about 6 m/s6\ \text{m/s}6 m/s, which is about four times walking speed.
  5. These speeds depend on age, fitness, the slope of the ground, the surface and the distance to be covered, so a long uphill walk is slower than 1.5 m/s1.5\ \text{m/s}1.5 m/s.
Example

Estimating a walking time

  • A student walks 1.2 km1.2\ \text{km}1.2 km to school at a typical walking speed of 1.5 m/s1.5\ \text{m/s}1.5 m/s.
  • Convert the distance into metres, so 1.2 km=1200 m1.2\ \text{km} = 1200\ \text{m}1.2 km=1200 m.
  • Rearrange distance=speed×time\text{distance} = \text{speed} \times \text{time}distance=speed×time to make time the subject:
time=distancespeed=1200 m1.5 m/s=800 s \text{time} = \frac{\text{distance}}{\text{speed}} = \frac{1200\ \text{m}}{1.5\ \text{m/s}} = 800\ \text{s} time=speeddistance​=1.5 m/s1200 m​=800 s
  • A time of 800 s800\ \text{s}800 s is about 131313 minutes, which is a sensible time for a walk of just over a kilometre.
Example

Checking that a speed is realistic

  • A data table shows that a cyclist travelled 900 m900\ \text{m}900 m in 150 s150\ \text{s}150 s.
speed=distancetime=900 m150 s=6.0 m/s \text{speed} = \frac{\text{distance}}{\text{time}} = \frac{900\ \text{m}}{150\ \text{s}} = 6.0\ \text{m/s} speed=timedistance​=150 s900 m​=6.0 m/s
  • This matches the typical cycling speed of about 6 m/s6\ \text{m/s}6 m/s, so the data are realistic.
  • A value of 60 m/s60\ \text{m/s}60 m/s would be faster than a fast train, which would show that a mistake had been made.

Road, rail and air transport

  1. A car in a town or city usually travels at about 13 m/s13\ \text{m/s}13 m/s, which is close to a 303030 mph speed limit.
  2. A car on a motorway travels at about 30 m/s30\ \text{m/s}30 m/s, which is close to the 707070 mph limit.
  3. A bus in town moves at about 10 m/s10\ \text{m/s}10 m/s between stops, but its average speed over a whole journey is much lower because it stops often.
  4. A fast train travels at about 50 m/s50\ \text{m/s}50 m/s, and high-speed trains can travel faster than this.
  5. A passenger ferry crossing the Channel travels at about 10 m/s10\ \text{m/s}10 m/s.
  6. A passenger aircraft cruising at height travels at about 250 m/s250\ \text{m/s}250 m/s.
  7. Comparing the values shows that a cruising aircraft is roughly 202020 times faster than a car in town and more than 150150150 times faster than a person walking.

Wind and sound

  1. Wind speed changes a great deal with the weather, so there is no single typical value.
  2. A gentle breeze moves at about 3 m/s3\ \text{m/s}3 m/s, a fresh wind at about 10 m/s10\ \text{m/s}10 m/s and a gale at about 20 m/s20\ \text{m/s}20 m/s.
  3. In a hurricane the wind speed is more than 30 m/s30\ \text{m/s}30 m/s, which is faster than a car on a motorway.
  4. Sound travels through air at about 330 m/s330\ \text{m/s}330 m/s, which is much faster than any road vehicle.
  5. The speed of sound in air changes a little with temperature, but 330 m/s330\ \text{m/s}330 m/s is the value to use in estimates.
  6. Light travels about a million times faster than sound, so in a thunderstorm you see the lightning almost at once but hear the thunder later.
  7. Each 3 s3\ \text{s}3 s between the flash and the thunder means the storm is about 1 km1\ \text{km}1 km away, because sound travels roughly 330×3≈1000 m330 \times 3 \approx 1000\ \text{m}330×3≈1000 m in that time.
Example

Distance to a thunderstorm

  • A walker counts 6 s6\ \text{s}6 s between seeing a flash of lightning and hearing the thunder.
  • The light arrives almost instantly, so the 6 s6\ \text{s}6 s is the time taken for the sound to travel.
distance=speed×time=330 m/s×6 s=1980 m \text{distance} = \text{speed} \times \text{time} = 330\ \text{m/s} \times 6\ \text{s} = 1980\ \text{m} distance=speed×time=330 m/s×6 s=1980 m
  • The storm is about 2 km2\ \text{km}2 km away.
Common Mistake
  • Do not treat a typical speed as an exact value, because real speeds vary from person to person and from journey to journey.
  • Do not give a typical speed in km/h\text{km/h}km/h or mph when the question asks for m/s\text{m/s}m/s, because 30 m/s30\ \text{m/s}30 m/s and 303030 mph are very different speeds.
  • Do not mix up speed and velocity, because velocity is speed in a stated direction.
Exam technique

Recalling typical speeds

  • Learn one anchor value for each case, such as 1.5 m/s1.5\ \text{m/s}1.5 m/s for walking, 3 m/s3\ \text{m/s}3 m/s for running, 6 m/s6\ \text{m/s}6 m/s for cycling, 13 m/s13\ \text{m/s}13 m/s for a car in town, 30 m/s30\ \text{m/s}30 m/s on a motorway, 250 m/s250\ \text{m/s}250 m/s for an aircraft and 330 m/s330\ \text{m/s}330 m/s for sound.
  • When asked to suggest a typical speed, give a single value with its unit rather than a wide range.
  • When asked whether a calculated speed is realistic, compare it with your anchor value and say whether it is close to it, much larger or much smaller.
  • Any sensible value close to the anchor is acceptable, so you do not need to match a number exactly.
Self review
  • State a typical walking speed in m/s\text{m/s}m/s.
  • State a typical speed for a car on a motorway.
  • State the approximate speed of sound in air.
  • Explain why typical speeds are given as estimates.
  • Estimate the time taken to cycle 3 km3\ \text{km}3 km at a typical cycling speed.
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8.1.1 Typical everyday speeds Revision Guide

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Revision notes for OCR GCSE Physics 8.1.1 Typical everyday speeds: explanations and worked examples.

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