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Easy

Speed

Simple Explanation

Speed measures how fast an object is moving β€” the distance it covers in a given time, regardless of direction.

Why Do We Need It?

Speed is the simplest, most everyday measure of motion β€” from a car's speedometer to how fast you can run.

Formula

Speed

speed = distance / time

How fast an object is moving, regardless of direction.

speed
β€” rate of motion, in metres per second (m/s)
distance
β€” total path length travelled, in metres (m)
time
β€” time taken, in seconds (s)

When to use it: Whenever you need how fast something moved, without needing to know its direction.

Worked Example

Calculate a cyclist's speed

A cyclist covers 150 m in 30 s. What is their speed?

    Why Does This Work?

    Dividing the total distance covered by the time it took gives exactly how much distance is covered, on average, for each second β€” the definition of speed.

    Real-Life Example

    Reading a speedometer

    A car's speedometer shows how fast the car is travelling at any instant.

    It is continuously calculating (an instantaneous version of) distance covered per unit time β€” exactly this formula.

    Practice

    A runner covers 100 m in 20 s. What is their speed?

    Easy
    m/s

    Common mistake

    Forgetting to keep units consistent β€” mixing kilometres and seconds, for example, without converting, gives a meaningless number.

    Quick Review

    • speed = distance / time
    • Speed is a scalar β€” it has no direction.
    • Common units: m/s or km/h.