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Distance, Displacement and Speed (Part 2/3) Revision Notes | GCSE AQA Higher Physics

Distance is calculated with s = vt, distance = speed × time. Free GCSE AQA Physics revision notes with key definitions, plus 6 common questions answered.

Updated 20 Mar 2026 · Revise Right Team

Distance, Displacement and Speed (Part 2/3) is part of Forces and motion in GCSE AQA Higher Physics.

5 min

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39

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GCSE AQA Higher

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What this lesson covers

Distance is calculated with s = vt, distance = speed × time. Free GCSE AQA Physics revision notes with key definitions, plus 6 common questions answered.

  • Calculate speed using the equation speed = distance ÷ time
  • Recall typical speed values for walking, running, cycling and transport systems
  • Apply the distance-time equation to solve motion problems
  • Measure distance and time to determine speeds experimentally

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Key ideas to keep in view

Use this lesson to stay inside Forces and motion while connecting the detail back to the wider Forces topic.

  • Forces
  • Forces and motion
  • GCSE AQA Higher Physics

Revision notes

Read the core explanations from Distance, Displacement and Speed (Part 2/3) before testing yourself from memory.

1. Speed in the Real World

You walk to school, cycle to the shops, or travel by car on the motorway. Each journey involves different speeds, but how do we measure and compare them scientifically?

Speed isn't just about moving objects. Sound travels through air at roughly 330 m/s, which is why you see lightning before hearing thunder. Wind speed varies from gentle breezes to hurricane-force gales.

Understanding typical speed values helps you spot unrealistic answers in calculations. A person running at 100 m/s would be moving faster than a car on the motorway - clearly impossible!

Here are the typical speeds you need to memorise for your exam. These values appear regularly in GCSE questions, so knowing them saves time and helps you check your answers make sense.

Motion TypeTypical Speed
Person walking1.5 m/s
Person running3 m/s
Person cycling6 m/s
Car in town13 m/s (30 mph)
Car on motorway31 m/s (70 mph)
Train55 m/s
Aircraft250 m/s
Sound in air330 m/s

2. The Speed Equation

When an object moves at constant speed, it covers the same distance every second. This creates a simple relationship between three quantities: speed, distance, and time.

Think of it like this: if you walk at 2 m/s for 10 seconds, you'll travel 20 metres. The faster you go, or the longer you travel, the further you get.

You can rearrange this equation to find any of the three quantities. If you know distance and time, divide to find speed: $v = \frac{s}{t}$. If you know speed and distance, divide to find time: $t = \frac{s}{v}$.

3. Calculating Speed Step-by-Step

Speed calculations follow a clear method that earns you marks even if your final answer is wrong. Examiners award method marks for showing the correct formula and substitution.

The key is to write down what you know, what you need to find, and then substitute carefully with units. Let's work through a typical exam question.

Worked example: Calculating Speed from Distance and Time

A car travels 450 m in 18 s. Calculate its speed. [3 marks]

  1. $v = \frac{s}{t}$ — [M1] for correct formula
  2. $s = 450$ m, $t = 18$ s — Always include units with your values
  3. $v = \frac{450}{18}$ — [M1] for correct substitution
  4. $v = 25$ m/s — [A1] for correct answer with units

Answer: 25 m/s

Notice how each step earns marks. Even if you make an arithmetic error in step 4, you still get 2 out of 3 marks for showing the correct method.

Always check your answer makes sense. 25 m/s is roughly the speed of a car on a main road - reasonable for this problem. If you'd calculated 250 m/s, you'd know something was wrong.

4. Using the Distance Equation

Sometimes you know the speed and time, and need to find the distance travelled. This uses the original form of our equation: $s = vt$.

This calculation is particularly useful for planning journeys or working out stopping distances. Remember to keep your units consistent throughout.

Worked example: Finding Distance from Speed and Time

A cyclist travels at 8 m/s for 25 s. How far does she travel? [3 marks]

  1. $s = vt$ — [M1] for correct formula
  2. $v = 8$ m/s, $t = 25$ s — Speed and time are given
  3. $s = 8 \times 25$ — [M1] for correct substitution
  4. $s = 200$ m — [A1] for correct answer with units

Answer: 200 m

The cyclist travels 200 metres, which is about the length of two football pitches. This seems reasonable for cycling at moderate speed for 25 seconds.

Unit trap: If the time had been given in minutes, you'd need to convert to seconds first. Always work in metres, metres per second, and seconds unless told otherwise.

5. Measuring Speed in Practice

In real experiments, you need to measure both distance and time accurately to calculate speed. The equipment you choose affects the precision of your results.

For measuring distance, use a metre rule for short distances or a trundle wheel for longer ones. For time, stopwatches work for slow-moving objects, but you'll need light gates for faster motion.

Human reaction time introduces errors when using stopwatches. Your finger takes about 0.2 seconds to respond to what your eyes see, which matters for quick measurements.

Light gates give more accurate timing because they eliminate human reaction time. They use infrared beams that automatically start and stop timing when objects pass through.

6. Exam Success with Speed Calculations

Speed questions are mark-friendly if you follow the method. Examiners look for three things: correct formula, proper substitution with units, and a sensible final answer.

Common mistakes include forgetting units, mixing up the formula triangle, and not converting time units. Let's tackle these systematically.

The formula triangle helps you remember rearrangements. Put distance ($s$) at the top, speed ($v$) and time ($t$) at the bottom. Cover what you want to find - the remaining letters show you the calculation.

For 6-mark questions, you'll need to combine speed calculations with other physics concepts. Practice linking speed to kinetic energy, stopping distances, or wave properties.

Remember that speed is a scalar quantity - it has magnitude but no direction. When direction matters, we use velocity instead, but that's covered in the next part of this topic.

Frequently asked questions

How do you calculate distance from speed and time?

Distance is calculated with s = vt, distance = speed × time. A cyclist travelling at 8 m/s for 25 s travels 8 × 25 = 200 m; convert any time in minutes to seconds first.

What is the speed of sound in air?

Sound travels through air at roughly 330 m/s, faster than an aircraft at about 250 m/s. This is why lightning is seen before thunder is heard, and knowing typical values like this helps spot unrealistic answers in calculations.

What is constant speed?

Constant speed is motion where an object covers equal distances in equal time intervals. Walking at 2 m/s for 10 seconds at constant speed covers 20 metres.

What are typical speeds for cars, trains and aircraft?

Typical speeds are about 13 m/s (30 mph) for a car in town, 31 m/s (70 mph) for a car on the motorway, 55 m/s for a train and 250 m/s for an aircraft. Sound in air travels at about 330 m/s.

How do you rearrange the speed equation?

The speed equation v = s/t rearranges to s = vt to find distance and t = s/v to find time. In the formula triangle, distance (s) goes at the top with speed (v) and time (t) at the bottom; covering the quantity needed shows the calculation.

Why are light gates more accurate than a stopwatch?

Light gates are more accurate because they use infrared beams that start and stop timing automatically, so there is no human reaction time. With a stopwatch, a finger takes about 0.2 seconds to respond, which matters for quick measurements.

What is the typical speed of a car in town?

A typical car in town travels at about 13 m/s (30 mph), and a car on the motorway at about 31 m/s (70 mph). A train is about 55 m/s and an aircraft about 250 m/s.

What is the speed of a car that travels 450 m in 18 s?

A car that travels 450 m in 18 s has a speed of 25 m/s. Using v = s/t, v = 450 ÷ 18 = 25 m/s, which is roughly the speed of a car on a main road.

How do you measure distance and time for speed?

Distance is measured with a metre rule for short distances or a trundle wheel for longer ones. Time is measured with a stopwatch for slow-moving objects, but light gates are needed for faster motion.

How fast does a train travel?

A train travels at a typical speed of about 55 m/s, compared with about 31 m/s for a car on the motorway and about 250 m/s for an aircraft.

How do you spot an unrealistic speed answer?

Unrealistic speed answers show up when compared with typical speeds: a person running at 100 m/s would be faster than a car on the motorway, which is clearly impossible. A calculated car speed of 250 m/s would also signal an error.

Why must time be in seconds for speed calculations?

Time must be in seconds for speed in m/s, so minutes are converted to seconds first. Calculations should use metres, metres per second and seconds unless told otherwise.

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