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.
- 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.
- Most everyday speeds are not fixed, because they change with the person, the vehicle, the route and the conditions.
- A typical speed is a sensible, rounded value that represents an activity, so it is an estimate rather than an exact measurement.
- Knowing a small set of typical speeds lets you estimate times and distances for everyday journeys.
- Typical speeds also let you check whether the answer to a calculation is realistic.
- 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
- 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.
- 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.
- A trained athlete sprinting can reach about 10 m/s10\ \text{m/s}10 m/s, but only over a short distance.
- 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.
- 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:
- 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.
- 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
- 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.
- 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.
- 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.
- A fast train travels at about 50 m/s50\ \text{m/s}50 m/s, and high-speed trains can travel faster than this.
- A passenger ferry crossing the Channel travels at about 10 m/s10\ \text{m/s}10 m/s.
- A passenger aircraft cruising at height travels at about 250 m/s250\ \text{m/s}250 m/s.
- 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
- Wind speed changes a great deal with the weather, so there is no single typical value.
- 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.
- 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.
- Sound travels through air at about 330 m/s330\ \text{m/s}330 m/s, which is much faster than any road vehicle.
- 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.
- 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.
- 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.
- 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.