# physics

A person walks the path shown below. The total trip consists of four straight-line paths.
Path 1 is 80.0 m due east.
Path 2 is 250.0 m due south.
Path 3 is 130.0 m 30.0° south of west.
Path 4 is 190.0 m 60.0° north of west.
At the end of the walk, what is the person's resultant displacement?

1. 👍 0
2. 👎 0
3. 👁 526
1. Start the person at (0,0), and calculate the new position after each path.

After path 1: (80,0)
After path 2: (80, -250)
After path 3: x displacement is -130*cos30; y displacement is -130*sin30

(80 - 130*cos30, -250 -130*sin30)

After path 4: x displacement is -190*cos30, y displacement is 190*sin30;

New position is:

(80 - 130*cos30 - 190*cos30, -250 -130*sin30 + 190*sin30)

The magnitude of the displacement is (x^2 + y^2)^0.5, where (x,y) is the final position

1. 👍 0
2. 👎 1

## Similar Questions

1. ### Physics

A bus travels 280 km south along a straight path with an average velocity of 88 km/hr to the south. The bus stops for 24 min, then it travels 210 km south with an average of 75 km/hr to the south. A. How long does the total trip

2. ### need help with 2 physics problems

1. While following the directions on a treasure map, a pirate walks 45.0 m north, then turns and walks 7.5 m east. What single straight-line displacement could the pirate have taken to reach the treasure? 2. A hummingbird flies

3. ### physics

A person walks first at a constant speed of 4.90 m/s along a straight line from point A to point B and then back along the line from B to A at a constant speed of 2.70 m/s. (a) What is her average speed over the entire trip?

4. ### Physics

A person walks the path shown below. The total trip consists of four straight-line paths. Path 1 is 40.0 m due east. Path 2 is 170.0 m due south. Path 3 is 120.0 m 30.0° south of west. Path 4 is 190.0 m 60.0° north of west. At

1. ### Algebra

A pool measuring 20 meters by 22 meters is surrounded by a path of uniform​ width, as shown in the figure. If the area of the pool and the path combine is 1088 square​ meters, what is the width of the​ path?

2. ### physics

A person walks first at a constant speed of 4.90 m/s along a straight line from point A to point B and then back along the line from B to A at a constant speed of 2.70 m/s. (a) What is her average speed over the entire trip?

3. ### physics

a person walks first a constant speed of 5.00m/s along a straight line from point A to point B and then back along the line from point B to A at a constant speed of 3.00m/s. (a) what is her average speed over the entire trip? (b)

4. ### physics

A 60.0-kg skier with an initial speed of 12.0 m/s coasts up a 2.50-mhigh rise and angle is 35 degrees.Find her final speed at the top, given that the coefficient of friction between her skis and the snow is 0.0800. (Hint: Find the

1. ### physics

A solid cylinder of mass m and radius R rolls down a parabolic path PQR from height without slipping (assume R ≪ H) as shown in the figure below. Path PQ is rough (and so the cylinder will roll on that path), whereas path QR is

2. ### Physics

two campers in a national park hike from their cabin to the same spot on a lake each taking a different path. the total distance traveled along path 1 is 7.5 km and that along path 2 is 8.2 km. what is the final displacement of

3. ### jccc

a tennis player moves in a straight line path as shown in figure below. find her average velocity in following time intervals.

4. ### maths

a rectanglar lawn 36m long and 15m wide has a path of a uniform width around it. if the area of path is 910m2 . find the width of the path?