An air craft attempt too fly due north at 100 kmh-1. If the wind blows against it from east to west at 60 kmh-1, its resultant velocity is

Answer Details

The aircraft is flying due north at 100 km/h, but the wind is blowing against it from east to west at 60 km/h. To determine the resultant velocity, we need to use vector addition. The velocity of the aircraft can be represented as a vector pointing north with a magnitude of 100 km/h. The velocity of the wind can be represented as a vector pointing west with a magnitude of 60 km/h. To find the resultant velocity, we need to add these two vectors using the Pythagorean theorem and trigonometry.
The magnitude of the resultant velocity can be found using the equation:
resultant velocity = sqrt((100 km/h)^2 + (60 km/h)^2) = 116.62 km/h
The direction of the resultant velocity can be found using trigonometry. The angle between the north direction and the direction of the resultant velocity can be found using the equation:
theta = atan(60 km/h / 100 km/h) = 31 degrees
So the resultant velocity is 116.62 km/h with a direction of N31oW. Therefore, the answer is:
- 117 km/h, N31oW