A student bikes to school by traveling first d N = 1.00 miles north, then d W =

Question

A student bikes to school by traveling first dN = 1.00 miles north, then dW = 0.600 miles west, and finally dS = 0.200 miles south.

Take the north direction as the positive y direction and east as positive x. The origin is still where the student starts biking. Let d N be the displacement vector corresponding to the first leg of the student's trip. Express d N in component form. Express your answer as two numbers separated by a comma (e.g., 1.0,2.0). By convention, the x component is written first.

I have already tried (-0.6,0.8) and (0.8,-0.6) and both are incorrect. Any help would be appreciated, thanks!

Explanation / Answer

In the north-south direction, the displacement is 1.1 - .2 = .9 miles

The West is .6 miles

by Pythagorean Theorem

d2 = (.9)2 + (.6)2

d = 1.08 miles

make this as a co ordinate system

first north 1.1 miles

means N( 0,1.1)

next west 0.6

W( -0.6,1.1)

next south 0.2 miles

S( -0.6,0.9)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.