Calculating Speed using a Graph

Calculating Speed using a Graph

CO:

I will be able to analyze different graphs in order to calculate speed

LO: Using the formula for speed, I will be able to calculate the speed of an object using graphs

Calculating speed using a graph

Speed

• Speed is the distance traveled per unit of time.

Two things are needed to calculate speed

Distance

• The distance an object travels

• The units that are included are cm. m. km. ft.

Time

• The time it takes an object to travel that distance

• The units included are....

• Seconds, hours, minutes

In a Distance Time graph....

• Distance is located on the Y axis

• Time is located on the X axis

• 
  

If you analyze the graph...

It takes 16 hours to travel 14 km.

Let's analyze the graph

GET READY...

Multiple Choice

How long does it take to travel 2 km?

• 1 hour

• 2 hours

• 3 hours

• 4 hours

Multiple Choice

How far can you travel in 4 hours?

• 1 km

• 2 km

• 3 km

• 4 km

Calculating Speed

How do we calculate speed

• Speed is by dividing distance covered by an object by time

• The unit for Speed is m/s

• The unit for speed can also depend on the units for distance you are given in a question.

Calculate the Speed of the object when it travels 2 hours

• Distance: 2 km

• Time 2 Hours

• Speed = Distance/Time

• Speed= 2km/2hr

• Speed = 1km/hr

Let's Practice

Multiple Choice

What is the Speed of the object as it travels 3 km?

• 3 km/hr

• 1km/hr

• 2 km/hr

• 4km/hr

Multiple Choice

What is the Speed of the object as it travels 4 km?

• 3 km/hr

• 1km/hr

• 2 km/hr

• 4km/hr

Multiple Choice

What is the Speed of the object as it travels 5 km?

• 3 km/hr

• 1km/hr

• 2 km/hr

• 4km/hr

Multiple Choice

What is the Speed of the object as it travels 6 km?

• 3 km/hr

• 1km/hr

• 2 km/hr

• 4km/hr

Multiple Choice

What is the Speed of the object as it travels 10 km?

• 3 km/hr

• 1km/hr

• 2 km/hr

• 4km/hr

Did you Notice?

• A straight line in a distance/time graph means......

• The object is traveling at a constant speed

“Constant speed” means an object is moving at the same speed throughout.

Now let's interpret more about the graph

Multiple Choice

What is the distance of the object at hour 10?

• 2 km

• 10km

• 11km

• 12km

Multiple Choice

What is the distance of the object at hour 11?

• 2 km

• 10km

• 11km

• 12km

Multiple Choice

What is the distance of the object at hour 12?

• 2 km

• 10km

• 11km

• 12km

Did You Notice?

• A horizontal Line in a distance Time graph means the object is at rest.

• Maybe the traveler stopped to rest or eat for a period of 2 hours.

Let's Review...

Multiple Choice

What is speed?

• how far you go

• how much distance is covered over a period of time

• how fast you accelerate

• the change in the location of a object

Multiple Choice

What is the formula to calculate speed?

• Speed = time/distance

• Speed = distance/time

• Speed = distance x time

• Speed = time x distance

Multiple Choice

Calculate the average speed (in meter/sec) if a cheetah runs 180 meters in 10 seconds.

• 198 m/sec
• 170 m/sec
• 12 m/sec
• 18 m/sec