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A train moving at an essentially constant speed of 60 miles/hr moves eastward for 40 min, then in a direction 45 degrees east of north for 20 min, and finally westward for 50 min. What is the average velocity of the train during this run?

So average velocity is [itex] \frac{\Delta r}{\Delta t} [/itex]. I am starting at the origin, and have three vectors

[itex] a = 40i [/itex]

[itex] b = (10\sqrt{2}) i + (10\sqrt{2}) j [/itex]

[itex] c = -50i [/itex]

So the resultant vector would be [itex] (10\sqrt{2} - 10)i + (10\sqrt{2})j[/itex]. So to find the average velocity would I just do [itex] \frac{(10\sqrt{2} - 10)^{2}) + (10\sqrt{2})^{2})}{110} [/itex]

Thanks

So average velocity is [itex] \frac{\Delta r}{\Delta t} [/itex]. I am starting at the origin, and have three vectors

**a**,**b**, and**c**.[itex] a = 40i [/itex]

[itex] b = (10\sqrt{2}) i + (10\sqrt{2}) j [/itex]

[itex] c = -50i [/itex]

So the resultant vector would be [itex] (10\sqrt{2} - 10)i + (10\sqrt{2})j[/itex]. So to find the average velocity would I just do [itex] \frac{(10\sqrt{2} - 10)^{2}) + (10\sqrt{2})^{2})}{110} [/itex]

Thanks

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