total distance is just the sum of all the separate pieces. I'm sure you can add them up.
For the final location, just add up the separate displacements (in 100's of meters).
(0,0) to (-23,0) to (-23,-175) to (-4,-175) to (-4,-163)
Now you can figure the east-west, north-south, and total displacements.
You are going hiking in Brown County State Park this weekend and want to plan your route to Lake
Monroe. Starting from the parking lot, you plan on hiking 2300 m due west, 17500 m due south, 1900 m due
east, and 1200 m due north. What will be the total distance of your hike if you take this route? What will be
your resultant displacement from the parking lot to your ending position at Lake Monroe, relative to the right
horizontal from your final position?
3 answers
Okay thanks, but how would you then calculate the total displacement from there? Sorry I am just a bit lost.
just use your usual distance formula. The final displacement is just
100*√(4^2+163^2) = 100√26585 = 16305m
100*√(4^2+163^2) = 100√26585 = 16305m