Cyclist A is travelling at 22km/h in the direction N 35 E and a second cyclist is travelling at 17 km/h in the direction S 40 E. Determine the relative velocity of A with respect to B.

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- Dec 29th 2008, 11:09 PMmagentaritaCyclist
Cyclist A is travelling at 22km/h in the direction N 35 E and a second cyclist is travelling at 17 km/h in the direction S 40 E. Determine the relative velocity of A with respect to B.

- Dec 30th 2008, 04:00 AMHallsofIvy
B, himself, "with respect to B" is

**standing still**. To change from "traveling at 17 km/h in the direction S 40" E to "0" velocity, you need to subtract the velocity vector. Do the same to A: subtract the vector "17 km/h at S 40 E" from "22 km/h at N 35 E".

You can do that either by setting it up as a triangle and using the cosine and sine laws or by separating the vectors into components. Would you like to try that yourself? - Dec 30th 2008, 09:57 PMmagentaritaok...