You can use weighted averages to solve uniform motion problems when the objects you are considering...
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Transcript of You can use weighted averages to solve uniform motion problems when the objects you are considering...
![Page 1: You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.](https://reader036.fdocuments.in/reader036/viewer/2022062520/5697bfe31a28abf838cb5062/html5/thumbnails/1.jpg)
![Page 2: You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.](https://reader036.fdocuments.in/reader036/viewer/2022062520/5697bfe31a28abf838cb5062/html5/thumbnails/2.jpg)
You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.
![Page 3: You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.](https://reader036.fdocuments.in/reader036/viewer/2022062520/5697bfe31a28abf838cb5062/html5/thumbnails/3.jpg)
Suppose two cars, Car A and Car B, are moving towards one another. If the cars start 500 miles apart and Car A travels at 60 mph East and Car B travels at 65 mph West, where will the cars meet?
![Page 4: You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.](https://reader036.fdocuments.in/reader036/viewer/2022062520/5697bfe31a28abf838cb5062/html5/thumbnails/4.jpg)
![Page 5: You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.](https://reader036.fdocuments.in/reader036/viewer/2022062520/5697bfe31a28abf838cb5062/html5/thumbnails/5.jpg)
In order to solve this problem write an expression for the distance that each car will travel.
![Page 6: You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.](https://reader036.fdocuments.in/reader036/viewer/2022062520/5697bfe31a28abf838cb5062/html5/thumbnails/6.jpg)
Next, set the sum of the distances each car travels equal to the total distance between them.
![Page 7: You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.](https://reader036.fdocuments.in/reader036/viewer/2022062520/5697bfe31a28abf838cb5062/html5/thumbnails/7.jpg)
Now you can solve for the time it will take the cars to meet.
Simplify and solve for time, t.
It will take 4 hours for the cars to meet.
![Page 8: You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.](https://reader036.fdocuments.in/reader036/viewer/2022062520/5697bfe31a28abf838cb5062/html5/thumbnails/8.jpg)
Now that we know how long it will take before each car meets, we can calculate the distance that each car will travel, using the distance equations from before.
![Page 9: You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.](https://reader036.fdocuments.in/reader036/viewer/2022062520/5697bfe31a28abf838cb5062/html5/thumbnails/9.jpg)
Car A travels 240 miles East
Car B travels 260 miles West
![Page 10: You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.](https://reader036.fdocuments.in/reader036/viewer/2022062520/5697bfe31a28abf838cb5062/html5/thumbnails/10.jpg)
Now we can conclude that the cars will meet when Car A travels 240 miles East and Car B travels 260 miles West.