A ship is sailing west at 5km/h relative to land.To people on the ship, a balloon appears to move away horizontally at 10km/h versus east.

A)what is the wind velocity relative to land?
B)What is the distance travelled by the balloon in 30 min
1)For a person at rest on the ship?
2)or a person at rest on land?

To solve these problems, we need to understand the concept of relative velocities. The velocity of an object in a particular frame of reference is its speed and direction relative to that reference point.

Let's address each question step by step:

A) What is the wind velocity relative to land?
To determine the wind velocity relative to land, we need to consider both the velocity of the ship relative to land and the apparent velocity of the balloon as observed by the people on the ship.

Given:
- Ship velocity relative to land = 5 km/h (westward)
- Balloon velocity relative to the people on the ship = 10 km/h (eastward)

To calculate the wind velocity relative to land, we need to find the vector difference between the ship velocity and the balloon velocity. In this case, the wind velocity is the resultant vector.

By subtracting the balloon's velocity (10 km/h) from the ship's velocity (-5 km/h), we get:

Wind velocity relative to land = Ship velocity - Balloon velocity
= -5 km/h - 10 km/h
= -15 km/h (westward)

Therefore, the wind velocity relative to land is 15 km/h in the opposite direction of the ship's movement.

B) What is the distance traveled by the balloon in 30 minutes?
To calculate the distance traveled by an object, we multiply its velocity by the time it has been traveling.

Given:
- Balloon velocity relative to the people on the ship = 10 km/h (eastward)
- Time traveled = 30 minutes = 0.5 hours

1) For a person at rest on the ship:
The distance traveled by the balloon relative to a person at rest on the ship would be the same as the apparent velocity observed, as there is no additional velocity to consider.

Distance traveled by the balloon = Balloon velocity * Time
= 10 km/h * 0.5 hours
= 5 km

Therefore, the distance traveled by the balloon relative to a person at rest on the ship is 5 km.

2) For a person at rest on land:
To calculate the distance traveled by the balloon relative to a person at rest on land, we need to consider the total velocity, which includes the velocity of the ship and the observed velocity of the balloon.

Distance traveled by the balloon = (Ship velocity + Balloon velocity) * Time
= (-5 km/h + 10 km/h) * 0.5 hours
= 2.5 km

Therefore, the distance traveled by the balloon relative to a person at rest on land is 2.5 km.

6.71m/s at 63.4 s of east