Net Displacement: Find Mag w/ Graphical Method

[JMWM]

Homework Statement

A jogger runs 10.0 blocks due east, 5.0 blocks due south, and another 2.0 blocks due east. Assume all blocks are of equal size. Use the graphical method to find the magnitude of the jogger's net displacement?

Homework Equations

well a sketch, but I've tried it and I don't really get it.

The Attempt at a Solution

so I kind of think what I'm doing but not really... ok the jogger started at 10 E. and then he went 5 N. and then went to 2 E, do you subtract the 10 and the 2, both that are east? and then add the 5... ugh, I don't know how to work this out. I know that its how much it went from where he started from, but not really sure how to find the answer. The answer is 13 blocks, but how do I get to that? Thanks.

 

[Ja4Coltrane]

how far does he go east in total and how far south?

 

[JMWM]

12 east and 5 south

 

[Ja4Coltrane]

okay, if you draw that, and then draw a straight line from the start to finish, do you see any way to figure out how long the line is?

 

[JMWM]

oh my gosh, got it! thanks! pythagorean theorem, right?

 

[Ja4Coltrane]

yeah, good job!

 

[JMWM]

thanks. =)