   Chapter 3, Problem 18PE

Chapter
Section
Textbook Problem

You drive 7.50 km in a straight line in a direction 15° east of north. (a) Find the distances you would have to drive straight east and then straight north to arrive at the same point. (This determination is equivalent to find the components of the displacement along the east and north directions.) (b) Show that you still arrive at the same point if the east and north legs are reversed in order.

To determine

(a)

The distances drove into straight east and then straight north to arrive at the same point>

Explanation

Given:

Distance = AC=AB= 7.5 Km

α = 15o

Formula used:

Distances drove into straight east AC = AB cos(90o) = AB sinα

Distances drove into straight north CB = AB cosα

Calculation:

The distance straight east is equal to the segment AC:

AC = AB cos( 90o) = AB sinαAC = 7

To determine

(b)

To Show:

That you still arrive at the same point if the east and north legs are reversed in order

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 