A person walks due east on the front of a ship at 3 miles per hour. If the ship moves north at a speed of 12 miles per hour, find the direction and speed of the person relative to the water surface Speed=__________mph The angle of the direction from north= ______radians

Speed=12.3693169 mph

The angle of the direction from north= .24498 radians

A horizontal clothesline is tied from 2 poles, 16 meters apart. If a 4 kilogram mass is placed in the middle of the line, and it sags 1 meter What is the magnitude of the tension at the ends of the clothesline? T=_______N

Nine ring wraiths fly from point a to point b. point b is directly north of point a. Wind is coming from the west at 55 mph. To travel in a straight line the ring wraiths decide to head NW. What speed should they fly?

A child walks due east on the deck of a ship at 1 miles per hour.
The ship is moving north at a speed of 6 miles per hour.

Find the speed and direction of the child relative to the surface of the water.

Speed = ____ mph

The angle of the direction from the north = _______ (radians)

Speed = 6.083 mph

The angle from the north = 0.165 (radians)

The work

16.

In the figure below the y-axis points north,
the x-axis points east, and the xy-plane
corresponds to the surface of the water.
Suppose a boat is at point B, a submarine is 8 units
below point S, and a helicopter is 11 units above point H.

Find the displacement vector and the distance from the submarine to the boat.
Displacement:
Distance:

Find the displacement vector and distance from the helicopter to the boat.
Displacement:
Distance:

Find the displacement vector and distance from the submarine to the helicopter.
Displacement:
Distance: