Question

A very strong Girl runs 200 miles east for several hours. After a brief rest she runs another 100 miles north. She stops for the night at a local bed and breakfast and the next morning walks 75 miles directly south-east. Find the magnitude and direction of her displacement. (plz show work idk what im doing at all would appreciate if u could explain throughout the way so ik how to do this plz and ty....)

Answer 1

this is what you want

Answer 2

how about the magnitude ? or is tht the x too?

Answer 3

magnitude is \[\sqrt{100^2 + 200^2} - 75\]

Answer 4

let me revise my drawing...it looks ugly

Answer 5

the direction is \[\tan^{-1} (\frac{100}{200} )\]

Answer 6

uhh that should be 200 miles in my drawing...not 20