Homework: Vectors (Section 8.4)

Question

A person starts walking from home and walks:

5 miles East

3 miles Southeast

6 miles South

2 miles Southwest

3 miles East

find the total displacement vector for this walk:

If this person walked straight home, they'd have to walk

miles

Answer 1

total east = 5 + 3/sqr2 + 1.6 = 10.3

total south = 3/sqr2 + 6 + sqr2 = 9.5

distance traveled from home = hypotenuse with sides 10.3 and 9.5 =

square root of (10.3^2 + 9.5^2) = 14 miles