A pilot of a light plane heads due north at air speed of 400km/h and wind is blowing from the west at a 60km/h.what is
Did you finish? What is.......?
Sra
To determine the ground speed and direction of the plane, we need to consider the effect of the wind on the plane's motion.
First, let's break down the velocities into their components:
- The airspeed of the plane, 400 km/h, is in the north direction.
- The wind speed, 60 km/h, is in the west direction.
Since the plane is flying directly into the wind, the wind will have a negative effect on its ground speed. To find the resulting ground speed, we need to add the two velocities vectorially.
The north component of the wind speed does not affect the plane's northward motion, so we only need to consider the west component of the wind speed.
Now, let's calculate the ground speed and direction.
1. Find the westward component of the wind speed:
West Component of Wind Speed = Wind Speed * cos(90°) = 60 km/h * cos(90°) = 0 km/h
2. Find the ground speed:
Ground Speed = Airspeed + West Component of Wind Speed
= 400 km/h + 0 km/h
= 400 km/h
Therefore, the ground speed of the plane is 400 km/h.
Since the wind does not have any northward component, the plane will continue to travel due north. So, the direction of the plane remains the same: due north.
In conclusion, the ground speed of the plane is 400 km/h, and its direction is due north.