Posted by **tumcee** on Saturday, April 17, 2010 at 2:28pm.

A person walks from point A to point B as shown in the figure below. What is the person's displacement relative to A?

What is the magnitude?

What is the direction ° (counterclockwise from the +x-axis)?

- college physics -
**drwls**, Saturday, April 17, 2010 at 4:14pm
OK, I found the figure at

http://www.webassign.net/wb/3-30.gif

All you have to do is use a little trig and add up the vertical and horizontal displacements.

Four vectors are being added. In the +y direction, the change in position is

Y = 20 sin 30 + 30 - 20 sin 45

= 25.86 m

You do the +x displacement, which is

X = 20 cos30 -40 + 20 cos 45, which is a negative number.

Use the Pythagorean theorem for the magnitude of the displacement.

The direction angle is in the second quadrant and the tangent of the angle from the +X axis is Y/X

- college physics -
**Wow**, Monday, October 27, 2014 at 7:42pm
27m at 72 degrees

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