Answer:
32 km east
Explanation:
In order to find the final position of the balloon, we need to calculate its total displacement.
We have:
- Displacement towards west: 18 km
- Displacement towards east: 50 km
The two vectors are on the same line: this means that we can simply add them together (taking into account the proper direction) to obtain the total displacement.
Taking east as positive direction and west as negative direction, we have:

And since it is positive, it means that the final position of the balloon is 32 km east from its initial position.
Answer:
Δy= 5,075 10⁻⁶ m
Explanation:
The expression that describes the interference phenomenon is
d sin θ = (m + ½) λ
As the observation is on a distant screen
tan θ = y / x
tan θ= sin θ/cos θ
As in ethanes I will experience the separation of the vines is small and the distance to the big screen
tan θ = sin θ
Let's replace
d y / x = (m + ½) λ
The width of a bright stripe at the difference in distance
y₁ = (m + ½) λ x / d
m = 1
y₁ = 3/2 λ x / d
Let's use m = 1, we look for the following interference,
m = 2
y₂ = (2+ ½) λ x / d
The distance to the screen is constant x₁ = x₂ = x₀
The width of the bright stripe is
Δy = λ x / d (5/2 -3/2)
Δy = 630 10⁻⁹ 2.90 /0.360 10⁻³ (1)
Δy= 5,075 10⁻⁶ m