A man walks 50 m,East, 30 m, South, 20 m,West and 10 m, North. Determine the displacement from the starting point.

Find the distance traveled in FPS

final location: 30 E, 20 S

total travel: 110

now you can find the displacement, using the Pythagorean theorem.

no idea what distance in FPS is. All distance quoted were in meters.

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To find the displacement from the starting point, we need to find the net distance and direction of the man's movement.

Let's break down the distances traveled in each direction:

1. East: 50 m
2. South: 30 m
3. West: 20 m
4. North: 10 m

To determine the displacement, we can consider East as positive, West as negative, North as positive, and South as negative.

First, let's calculate the total displacement in the East-West direction:
Total displacement in the East-West direction = (50 m - 20 m) = 30 m East

Next, let's calculate the total displacement in the North-South direction:
Total displacement in the North-South direction = (10 m - 30 m) = -20 m South

Now, combining the displacements in both directions:
Total displacement = 30 m East - 20 m South

To find the displacement from the starting point, we can use the Pythagorean theorem:
Displacement = √(30^2 + (-20)^2) = √(900 + 400) = √1300 ≈ 36.06 m

Therefore, the displacement from the starting point is approximately 36.06 meters.

To find the distance traveled in FPS (feet per second), we need to convert the distances from meters to feet.

1 meter = 3.28084 feet

Let's convert each distance:

1. East: 50 m = (50 m) * (3.28084 ft/m) ≈ 164.04 ft
2. South: 30 m = (30 m) * (3.28084 ft/m) ≈ 98.42 ft
3. West: 20 m = (20 m) * (3.28084 ft/m) ≈ 65.62 ft
4. North: 10 m = (10 m) * (3.28084 ft/m) ≈ 32.81 ft

Total distance traveled = 164.04 ft + 98.42 ft + 65.62 ft + 32.81 ft = 360.89 ft

Therefore, the distance traveled in FPS is approximately 360.89 feet.