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Speed and Velocity

Speed and Velocity

Speed and Velocity

Speed is a measurement that describes how fast an object is travelling.

Units for speed

1

Speed is...

2

We can measure speed using different units. Which are the three units in the picture?

You can select multiple answers

3

Miles, kilometres and metres are all measures of ______________.

4

Hours and seconds are both measures of ______________.

5

All units for speed include a measure of _____________ and a measure of ___________.

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6

What is the SI unit for speed?

Measuring Speed

1

It's sports day and your friend is about to start a race. They've asked you to find out how fast they cycle. What two quantities do you need to measure?

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2

To measure these quantities, you'll need...

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3

The race begins and you start your stopwatch. The track is 400 m400 \space m long and your friend crosses the finish line in 50s50s. Now you have to calculate their speed; how many metres did they cycle per second?

4

You worked out you speed like this 400 m50 s=8 m/s\frac{400 \space m}{50 \space s}=8 \space m/s. What is the correct formula for speed then?

5

So the formula for speed is speed=distancetimespeed = \frac{distance}{time}

This gives you units that include both measures of distance and measures of time, like m/sm/s, km/hkm/h or mphmph

6

Here we can see a graph with the measurements from the race.

At time 50s50s your friend reached the distance of 400m400m.

7

At what point did your friend start the race?

8

Your friend finished the race at (50,400)(50, 400) and you calculated the speed at which they cycled to be 8m/s8\:m/s. Can you guess what part of the graph might represent the speed?

9

In any graph, the slope of the line is calculated by changeinychangeinx\frac{change\:in\:y}{change\:in\:x}.

For a distance-time graph, this is the same as changeindistancechangeintime\frac{change\:in\:distance}{change\:in\:time} which is just the speed!

Vectors and Scalars

1

When we talk about speed, we are giving magnitude to how fast an object is travelling. What type of quantity is this?

2

When we talk about speed in a given direction, we call it velocity. This is...

3

We talk about velocity when we care about what direction a moving object is travelling in.

Speed simply gives us the magnitude of the velocity.

Summary!

1

The speed of an object is how fast an object is going

By that we mean how far that object has gone in a given time, for example 10 m10 \space m in 5 s5 \space s

2

You calculate speed like this speed=distancetimespeed = \frac{distance}{time}

For example 10 m5 s=2 m/s\frac{10 \space m}{5 \space s}=2 \space m/s

3

That means that units for speed have a measure of distance and a measure of time

For example m/sm/s, km/hkm/h or mphmph

4

Speed is a scalar quantity.

Velocity is a vector quantity.