Speed and velocity are fundamental concepts in physics that help...
Physics107 views·Updated 5 Sept 2026·10 pagesUnderstanding Speed and Velocity: N5 Physics Dynamics
1 / 10
1
of 10
Speed Basics
Ever wondered how your sat nav calculates how long your journey will take? Speed is simply the distance you travel divided by the time it takes - it's a scalar quantity, which means it only has size, not direction.
The equation is dead simple: v = d/t, where v is speed (in ms⁻¹), d is distance (in metres), and t is time (in seconds). You can rearrange this to find distance: d = vt.
Think of it like this - if you walk 100 metres in 50 seconds, your speed is 2 ms⁻¹. Easy as that!
Quick Tip: Remember that speed is always positive - you can't have negative speed, even if you're moving backwards!
2
of 10
Average Speed
Average speed is what those yellow cameras on motorways actually measure - your total distance travelled divided by your total time taken. We write it as v̄ (with a line over the v).
The equation stays the same: v̄ = d/t, but now we're looking at the whole journey, not just a moment. Those average speed cameras work brilliantly - they know the exact distance between two camera points and time how long your car takes to travel between them.
If you cover 2 kilometres between cameras in 60 seconds, your average speed is about 33 ms⁻¹ - and you'll probably get a ticket since that's way over the speed limit!
Real World: This is why slowing down just before speed cameras doesn't work with average speed cameras!
3
of 10
Measuring Average Speed in the Lab
Setting up this experiment is straightforward and gives you proper hands-on experience with speed calculations. You'll use a trolley, two light gates, and a timer to measure how fast your trolley moves down a ramp.
The method is simple: measure the distance between your light gates with a metre stick, then let the trolley roll through both gates. The timer starts when the trolley's mask blocks the first gate and stops at the second gate.
Your calculation is just average speed = total distance ÷ time taken. With practice, you'll get really accurate results.
Lab Tip: Make sure your light gates are perfectly aligned - even small errors in distance measurement will affect your final answer!
4
of 10
Results and Analysis
Looking at real results makes this much clearer. With light gates 80 cm (0.80 m) apart and a travel time of 0.9352 seconds, the calculation becomes: 0.80 ÷ 0.9352 = 0.86 ms⁻¹.
This experimental result shows you've successfully measured average speed in a controlled way. The precision of your timer (to 4 decimal places) gives you confidence in your answer.
Remember to always convert your measurements to standard units - centimetres to metres in this case - before doing calculations.
Success: You've just done the same calculation that speed cameras use thousands of times every day!
5
of 10
Instantaneous Speed
Unlike average speed, instantaneous speed captures how fast you're moving at one specific moment - like when a police officer points a radar gun at your car. It's the speed right now, not over a journey.
Fixed speed cameras use sensors in the road surface, measuring the tiny time difference as your car passes between two sensors. Radar guns are even cleverer - they bounce radio waves off your car and calculate speed from how those waves change.
Both methods give police officers your exact speed in just a few seconds, which is why they're so effective at catching speeding drivers.
Technology: Modern radar guns can get accurate readings in just 3 seconds - pretty impressive tech!
6
of 10
Measuring Instantaneous Speed
This experiment uses a clever trick - instead of measuring how long a trolley takes to travel a long distance, you measure how long a small card takes to pass through a single light gate. This gives you speed at that exact moment.
You'll need a card of known width attached to your trolley. When the card passes through the light gate, the timer measures how long this takes. Since you know the card's width precisely, you can calculate instantaneous speed.
The equation becomes: instantaneous speed = width of card ÷ time taken. Using a shorter card gives you more accurate results.
Pro Tip: The narrower your card, the closer you get to true instantaneous speed!
7
of 10
Instantaneous Speed Results
With a 10 cm (0.10 m) card taking 0.0916 seconds to pass through the light gate, your calculation is: 0.10 ÷ 0.0916 = 1.1 ms⁻¹. Notice this instantaneous speed is higher than the average speed from earlier.
This makes perfect sense - the trolley accelerates as it rolls down the ramp, so it's moving faster at the bottom than its average speed over the whole journey. Your measurement captures this higher speed at one specific moment.
The key insight is that using a shorter card gives more accurate instantaneous measurements.
Understanding: Objects rarely move at constant speed - instantaneous and average speeds often differ!
8
of 10
Velocity Explained
Here's where things get interesting - velocity is like speed's more sophisticated cousin. It's a vector quantity, meaning it has both size and direction. The equation looks identical: v = s/t, but now s represents displacement, not just distance.
Think of it this way: if you walk 5 metres north in 5 seconds, your velocity is 1 ms⁻¹ north. The direction matters! You might need to find resultant velocity when forces act in different directions.
You can solve these problems using scale diagrams or calculations - both methods work well, so use whichever you're more comfortable with.
Key Difference: Speed is always positive, but velocity can be negative if you're moving in the opposite direction!
9
of 10
Calculating Resultant Velocity
Real-world velocity problems often involve multiple forces, like a skydiver falling at 40 ms⁻¹ while wind blows east at 10 ms⁻¹. You need to find the resultant velocity - where they actually end up going.
Using Pythagoras' theorem: c² = 40² + 10² = 1700, so c = 41 ms⁻¹. For direction, use trigonometry: tan θ = opposite/adjacent = 10/40 = 0.25, so θ = 14°.
Your final answer: 41 ms⁻¹ at 14° East of South. This combines both the falling motion and the wind's effect.
Exam Tip: Always include both magnitude and direction in your final answer for velocity questions!
10
of 10
Average Velocity
Just like speed, velocity has an average version too. Average velocity uses the same equation format: v̄ = s/t, but remember you're dealing with displacement (which includes direction) rather than simple distance.
This distinction becomes important when objects change direction during their journey. An object might travel a large distance but have small displacement if it ends up close to where it started.
Average velocity calculations are particularly useful in physics problems involving projectile motion or circular motion.
Remember: Average velocity considers your starting and ending positions, not the path you took to get there!
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Physics107 views·Updated 5 Sept 2026·10 pagesUnderstanding Speed and Velocity: N5 Physics Dynamics
Speed and velocity are fundamental concepts in physics that help us understand how objects move. While they might seem similar, there's a crucial difference - speed tells us how fast something is moving, whilst velocity also tells us the direction...
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Speed Basics
Ever wondered how your sat nav calculates how long your journey will take? Speed is simply the distance you travel divided by the time it takes - it's a scalar quantity, which means it only has size, not direction.
The equation is dead simple: v = d/t, where v is speed (in ms⁻¹), d is distance (in metres), and t is time (in seconds). You can rearrange this to find distance: d = vt.
Think of it like this - if you walk 100 metres in 50 seconds, your speed is 2 ms⁻¹. Easy as that!
Quick Tip: Remember that speed is always positive - you can't have negative speed, even if you're moving backwards!
2
of 10Sign up to see the content. It's free!
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Average Speed
Average speed is what those yellow cameras on motorways actually measure - your total distance travelled divided by your total time taken. We write it as v̄ (with a line over the v).
The equation stays the same: v̄ = d/t, but now we're looking at the whole journey, not just a moment. Those average speed cameras work brilliantly - they know the exact distance between two camera points and time how long your car takes to travel between them.
If you cover 2 kilometres between cameras in 60 seconds, your average speed is about 33 ms⁻¹ - and you'll probably get a ticket since that's way over the speed limit!
Real World: This is why slowing down just before speed cameras doesn't work with average speed cameras!
3
of 10Sign up to see the content. It's free!
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Measuring Average Speed in the Lab
Setting up this experiment is straightforward and gives you proper hands-on experience with speed calculations. You'll use a trolley, two light gates, and a timer to measure how fast your trolley moves down a ramp.
The method is simple: measure the distance between your light gates with a metre stick, then let the trolley roll through both gates. The timer starts when the trolley's mask blocks the first gate and stops at the second gate.
Your calculation is just average speed = total distance ÷ time taken. With practice, you'll get really accurate results.
Lab Tip: Make sure your light gates are perfectly aligned - even small errors in distance measurement will affect your final answer!
4
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Results and Analysis
Looking at real results makes this much clearer. With light gates 80 cm (0.80 m) apart and a travel time of 0.9352 seconds, the calculation becomes: 0.80 ÷ 0.9352 = 0.86 ms⁻¹.
This experimental result shows you've successfully measured average speed in a controlled way. The precision of your timer (to 4 decimal places) gives you confidence in your answer.
Remember to always convert your measurements to standard units - centimetres to metres in this case - before doing calculations.
Success: You've just done the same calculation that speed cameras use thousands of times every day!
5
of 10Sign up to see the content. It's free!
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Instantaneous Speed
Unlike average speed, instantaneous speed captures how fast you're moving at one specific moment - like when a police officer points a radar gun at your car. It's the speed right now, not over a journey.
Fixed speed cameras use sensors in the road surface, measuring the tiny time difference as your car passes between two sensors. Radar guns are even cleverer - they bounce radio waves off your car and calculate speed from how those waves change.
Both methods give police officers your exact speed in just a few seconds, which is why they're so effective at catching speeding drivers.
Technology: Modern radar guns can get accurate readings in just 3 seconds - pretty impressive tech!
6
of 10Sign up to see the content. It's free!
- Access to all documents
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By signing up you accept Terms of Service and Privacy Policy
Measuring Instantaneous Speed
This experiment uses a clever trick - instead of measuring how long a trolley takes to travel a long distance, you measure how long a small card takes to pass through a single light gate. This gives you speed at that exact moment.
You'll need a card of known width attached to your trolley. When the card passes through the light gate, the timer measures how long this takes. Since you know the card's width precisely, you can calculate instantaneous speed.
The equation becomes: instantaneous speed = width of card ÷ time taken. Using a shorter card gives you more accurate results.
Pro Tip: The narrower your card, the closer you get to true instantaneous speed!
7
of 10Sign up to see the content. It's free!
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Instantaneous Speed Results
With a 10 cm (0.10 m) card taking 0.0916 seconds to pass through the light gate, your calculation is: 0.10 ÷ 0.0916 = 1.1 ms⁻¹. Notice this instantaneous speed is higher than the average speed from earlier.
This makes perfect sense - the trolley accelerates as it rolls down the ramp, so it's moving faster at the bottom than its average speed over the whole journey. Your measurement captures this higher speed at one specific moment.
The key insight is that using a shorter card gives more accurate instantaneous measurements.
Understanding: Objects rarely move at constant speed - instantaneous and average speeds often differ!
8
of 10Sign up to see the content. It's free!
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By signing up you accept Terms of Service and Privacy Policy
Velocity Explained
Here's where things get interesting - velocity is like speed's more sophisticated cousin. It's a vector quantity, meaning it has both size and direction. The equation looks identical: v = s/t, but now s represents displacement, not just distance.
Think of it this way: if you walk 5 metres north in 5 seconds, your velocity is 1 ms⁻¹ north. The direction matters! You might need to find resultant velocity when forces act in different directions.
You can solve these problems using scale diagrams or calculations - both methods work well, so use whichever you're more comfortable with.
Key Difference: Speed is always positive, but velocity can be negative if you're moving in the opposite direction!
9
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Calculating Resultant Velocity
Real-world velocity problems often involve multiple forces, like a skydiver falling at 40 ms⁻¹ while wind blows east at 10 ms⁻¹. You need to find the resultant velocity - where they actually end up going.
Using Pythagoras' theorem: c² = 40² + 10² = 1700, so c = 41 ms⁻¹. For direction, use trigonometry: tan θ = opposite/adjacent = 10/40 = 0.25, so θ = 14°.
Your final answer: 41 ms⁻¹ at 14° East of South. This combines both the falling motion and the wind's effect.
Exam Tip: Always include both magnitude and direction in your final answer for velocity questions!
10
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Average Velocity
Just like speed, velocity has an average version too. Average velocity uses the same equation format: v̄ = s/t, but remember you're dealing with displacement (which includes direction) rather than simple distance.
This distinction becomes important when objects change direction during their journey. An object might travel a large distance but have small displacement if it ends up close to where it started.
Average velocity calculations are particularly useful in physics problems involving projectile motion or circular motion.
Remember: Average velocity considers your starting and ending positions, not the path you took to get there!
We thought you’d never ask...
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
You can download the app from Google Play Store and Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
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