Question

Starting from Joe's Gas Station, a car travels due north on Avenue A for 2.4 mi, then turns right and travels on Cedar Street for 1.0 mi, and then turns right again and travels on Washington Avenue for 0.6 mi.
How far is the car from Joe's Gas Station?

Answer 1

Answer:2.05 mi

Explanation:

Given

Joe travel 2.4 mi due to north

$r_1=2.4\hat{j}$

then turns right and travel 1 mi

$r_{21}=1\hat{i}$

then it again turn right on Washington avenue

$r_{32}=-0.6\hat{j}$

Final Position of Joe is

$r_3=\hat{i}+1.8\hat{j}$

its distance from gas station is

$|r_{3}|=\sqrt{1^2+1.8^2}$

=2.059 mi[/tex]