a aircraft is flying to north with velocity of 350 m/s, aside wind of velocity 100m/s is blowing due to west.
what is the resultant velocity ?
what is the direction of resultant velocity?
how far this aircraft travels during 1 hour?
X = Vw = -100 m/s.
Y = Vp = 350 m/s.
Q2.
Vr = Sqrt(X^2 + Y^2).
Tan A = Y/X = 350/-100 = -3.500.
A = -74o = 74o N. of W. = 16o W. of N. =
Direction.
d = Vr * 3600s = Meters.
Note: 3600 s = 1 hour.
To find the resultant velocity, we can use vector addition. Since we have the velocity of the aircraft and the velocity of the wind, we can add them to get the resultant velocity.
1. The velocity of the aircraft is 350 m/s to the north.
2. The velocity of the wind is 100 m/s to the west.
To find the resultant velocity, we use vector addition. We can break down the velocity of the aircraft and the wind into their respective components:
- The velocity of the aircraft has only a north component, so it can be denoted as (350 m/s, 0°).
- The velocity of the wind has only a west component, so it can be denoted as (0 m/s, 270°).
Adding these two vectors together, we get:
Resultant velocity = (350 m/s, 0°) + (0 m/s, 270°)
To add these vectors, we can add their x-components and their y-components separately:
Resultant velocity = (350 m/s * cos(0°) + 0 m/s * cos(270°), 350 m/s * sin(0°) + 0 m/s * sin(270°))
Simplifying this equation, we get:
Resultant velocity = (350 m/s * 1 + 0 m/s * 0, 350 m/s * 0 + 0 m/s * (-1))
Resultant velocity = (350 m/s, -0 m/s) = (350 m/s, 180°)
Therefore, the resultant velocity of the aircraft is 350 m/s towards the south.
To calculate how far the aircraft travels during 1 hour, we need to consider its resultant velocity. Since velocity is defined as displacement per unit time, we can simply multiply the velocity by the time to find the displacement.
Displacement = Velocity * Time
Substituting the values:
Displacement = 350 m/s * 1 hour = 350 m/h
Therefore, the aircraft travels a distance of 350 meters in 1 hour.