The movement of objects can be described using motion graphs and numerical values. These are both used to help in the design of faster and more efficient vehicles.
distanceNumerical description of how far apart two things are. For example, the distance from Edinburgh to Glasgow is approximately 50 miles. is how far an object moves. It does not include an associated direction, so distance is a scalarA quantity that requires only a size, for example, distance travelled is 20 m. quantity.
speedThe distance travelled in a fixed time period, usually one second. is the rate of changeThe amount of change in the size of聽a quantity each second. of distance - it is the distance travelled per unit time. Like distance, speed does not have an associated direction, so it is a scalar quantity.
Learn more on displacement, distance and speed in this podcast
When people walk, run, or travel in a car, their speed will change. They may speed up, slow down or pause for traffic. The speed at which a person can walk, run or cycle depends on many factors including:
age
terrain
fitness
distance travelled
Some typical values for speed in metres per second (m/s) include:
Method of travel
Typical speed (m/s)
walking
1.5
running
3
cycling
6
car
13-30
train
50
aeroplane
250
Method of travel
walking
Typical speed (m/s)
1.5
Method of travel
running
Typical speed (m/s)
3
Method of travel
cycling
Typical speed (m/s)
6
Method of travel
car
Typical speed (m/s)
13-30
Method of travel
train
Typical speed (m/s)
50
Method of travel
aeroplane
Typical speed (m/s)
250
It is not only moving objects whose speed can vary. The speed of the wind and the speed of sound also vary. A typical value for the speed of sound in air is about 330 m/s.
Calculations involving speed, distance and time
The distance travelled by an object moving at constant speed can be calculated using the equation:
distance travelled = speed 脳 time
\(s = v~t\)
This is when:
distance travelled (s) is measured in metres (m)
speed (v) is measured in metres per second (m/s)
time (t) is measured in seconds (s)
Example
A car travels 500 m in 50 s, then 1,500 m in 75 s. Calculate its average speed for the whole journey.