 You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.

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Presentation transcript:

 You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.

 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?



 In order to solve this problem write an expression for the distance that each car will travel.

 Next, set the sum of the distances each car travels equal to the total distance between them.

 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.

 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.

Car A travels 240 miles East Car B travels 260 miles West

 Now we can conclude that the cars will meet when Car A travels 240 miles East and Car B travels 260 miles West.