Understanding motion is crucial in physics - it's literally how...
Physics230 views·Updated 25 Aug 2026·3 pagesGCSE Physics Combined Science: Motion (P1) Notes
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Vectors and Scalars - The Foundation of Motion
Ever wondered why physicists are so fussy about direction? It's because some measurements need it, whilst others don't! Vector quantities have both size (magnitude) and direction - think of force, displacement, velocity, and momentum.
Scalar quantities only have size, no direction needed. These include mass, speed, distance, energy, and time. For example, saying "I walked 100m north" describes displacement (vector), but "I walked 100m" describes distance (scalar).
Here's something that trips many students up: displacement is the straight-line distance between your start and end points, whilst distance is the actual path you travelled. Because of curves and bends, displacement is usually less than the total distance covered.
Quick Check: Weight is a force that always acts towards Earth's centre - that's why it's a vector quantity measured in Newtons!
2
of 3
Speed, Distance, and Time Calculations
Calculating speed is straightforward once you know the formula: speed = distance ÷ time. This gives you metres per second (m/s), which you can rearrange to find distance travelled = speed × time.
For really fast-moving objects, scientists use light gates instead of stopwatches because they're much more accurate. You can also find speed from the gradient (slope) of a distance-time graph - the steeper the line, the faster the object.
Acceleration measures how quickly velocity changes, using the formula: acceleration = (final velocity - initial velocity) ÷ time. Remember, acceleration doesn't always mean getting faster - objects can decelerate (slow down) too!
Remember: Velocity is speed with direction, so even if a car maintains constant speed around a corner, it's still accelerating because its direction changes!
3
of 3
Advanced Motion Equations and Gravity
There's a powerful equation that connects velocity, acceleration, and distance: (final velocity)² - (initial velocity)² = 2 × acceleration × distance. This is brilliant for solving problems when you don't know the time taken.
Gravity provides constant acceleration here on Earth - approximately 9.8 m/s² (often rounded to 10 m/s² for easier calculations). This means any falling object speeds up by about 10 m/s every second, assuming no air resistance interferes.
Velocity-time graphs tell amazing stories about motion. A horizontal line shows constant velocity, whilst slopes show acceleration or deceleration. The area under the line gives you the total displacement travelled.
Top Tip: Don't confuse speed (scalar) with velocity (vector) - a car going around a roundabout at constant speed is actually changing velocity because its direction keeps changing!
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Physics230 views·Updated 25 Aug 2026·3 pagesGCSE Physics Combined Science: Motion (P1) Notes
S
Sofia@sofia_mnlj
Understanding motion is crucial in physics - it's literally how everything around you moves! This topic covers the essential concepts of vectors, scalars, speed, velocity, and acceleration that you'll need to master for your GCSE Physics exams.
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Vectors and Scalars - The Foundation of Motion
Ever wondered why physicists are so fussy about direction? It's because some measurements need it, whilst others don't! Vector quantities have both size (magnitude) and direction - think of force, displacement, velocity, and momentum.
Scalar quantities only have size, no direction needed. These include mass, speed, distance, energy, and time. For example, saying "I walked 100m north" describes displacement (vector), but "I walked 100m" describes distance (scalar).
Here's something that trips many students up: displacement is the straight-line distance between your start and end points, whilst distance is the actual path you travelled. Because of curves and bends, displacement is usually less than the total distance covered.
Quick Check: Weight is a force that always acts towards Earth's centre - that's why it's a vector quantity measured in Newtons!
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Speed, Distance, and Time Calculations
Calculating speed is straightforward once you know the formula: speed = distance ÷ time. This gives you metres per second (m/s), which you can rearrange to find distance travelled = speed × time.
For really fast-moving objects, scientists use light gates instead of stopwatches because they're much more accurate. You can also find speed from the gradient (slope) of a distance-time graph - the steeper the line, the faster the object.
Acceleration measures how quickly velocity changes, using the formula: acceleration = (final velocity - initial velocity) ÷ time. Remember, acceleration doesn't always mean getting faster - objects can decelerate (slow down) too!
Remember: Velocity is speed with direction, so even if a car maintains constant speed around a corner, it's still accelerating because its direction changes!
3
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Advanced Motion Equations and Gravity
There's a powerful equation that connects velocity, acceleration, and distance: (final velocity)² - (initial velocity)² = 2 × acceleration × distance. This is brilliant for solving problems when you don't know the time taken.
Gravity provides constant acceleration here on Earth - approximately 9.8 m/s² (often rounded to 10 m/s² for easier calculations). This means any falling object speeds up by about 10 m/s every second, assuming no air resistance interferes.
Velocity-time graphs tell amazing stories about motion. A horizontal line shows constant velocity, whilst slopes show acceleration or deceleration. The area under the line gives you the total displacement travelled.
Top Tip: Don't confuse speed (scalar) with velocity (vector) - a car going around a roundabout at constant speed is actually changing velocity because its direction keeps changing!
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