college physics

posted by .

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 -

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 -

27m at 72 degrees

Similar Questions

1. college physics

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

Hi! could anyone help me to solve this problem please. Three point charges are located at the corners of an equilateral triangle as in the figure below. Find the magnitude and direction of the net electric force on the 1.60 µC charge. …
3. physics

A person walks 10 m in the + direction, 32 m in the - direction. What is the displacement of that person from their starting point.
4. Physics

The helicopter view in the figure below shows two people pulling on a stubborn mule. Assume that F1 is 130 N, and F2 is 65 N. The forces are measured in units of newtons (N). (a) Find the single force that is equivalent to the two …
5. Physics

A basketball player runs down the court, following the path indicated by the vectors A, B, and C in the figure. The magnitudes of these three vectors are: A = 12.0 m, B = 17.0 m, and C = 7.0 m. Let the +x-axis point to the right and …
6. physics

A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure. The length of the arc ABC is 214 m, and the car completes the turn in 40.0 s (Figure shows coordinate plane with point …
7. Physics

Four point charges are at the corners of a square of side a as shown in the figure below. Determine the magnitude and direction of the resultant electric force on q, with ke, q, and a left in symbolic form. (B = 4q and C = 6.5q. Let …
8. College Physics

The point charges in Figure 17.41 are located at the corners of an equilateral triangle 25.0 cm on a side, where qb = +12.0 µC and qc = -4.50 µC. (Assume that the +x-axis is directed to the right.) (a) Find the electric field at …
9. Math: Compass Bearings

two people start walking from the same point. Person A walks due east for 3.5 km and the person B walks in the direction 123 degrees until they are due south of person A. How far did the second person walk?
10. Physics

A man walks the distance of 8km in a direction of 20degrees east the walks another 6km in a direction 50degrees south east. Using vector diagrams find the magnitude and direction of the final displacement relative to the starting point.

More Similar Questions