Determine the velocity of the plane relative to ground

[navya]

urgent physics help!

The airspeed of a small plane is 200 km/h. The wind speed is 50.0 k/h from the west. Determine the velocity of the plane relative to ground if the pilot keeps the plane pointing to each of the following directions:

a) [E] ☺ b) [W] ☺ c) [N] ☺☺☺ d) [N400E] ☺☺☺

 

[Midy1420]

you have to break the velocities into components. Remember its a vector so it has x,y,z components. Then simply perform vector addition to find the velocity of the plane relative to ground so only same components can be added to each other x to x, y to y, z to z

 

[ogb p]

To determine the velocity of the plane relative to ground, we need to take into account both the airspeed and the wind speed. The airspeed of the plane is 200 km/h, meaning that the plane is moving east at a speed of 200 km/h. However, since there is a wind speed of 50 km/h from the west, this will affect the plane's overall velocity.

a) [E]: If the pilot keeps the plane pointing east, the wind will have no effect on the plane's velocity. Therefore, the velocity of the plane relative to ground will be equal to the airspeed of 200 km/h.

b) [W]: If the pilot keeps the plane pointing west, the wind will be pushing against the plane, slowing it down. The velocity of the plane relative to ground will be 200 km/h minus 50 km/h, resulting in a velocity of 150 km/h towards the west.

c) [N]: If the pilot keeps the plane pointing north, the wind will be coming from the west, pushing the plane slightly towards the east. This means that the velocity of the plane relative to ground will be slightly less than 200 km/h, with a small component towards the east.

d) [N400E]: This direction is a combination of north and east, meaning that the wind will have a greater effect on the plane's velocity. The velocity of the plane relative to ground will be a combination of the airspeed and the wind speed, resulting in a velocity that is slightly less than 200 km/h towards the east.

In conclusion, the velocity of the plane relative to ground will vary depending on the direction the pilot keeps the plane pointing and the wind speed. It is important for pilots to take into account these factors when flying to ensure safe and efficient travel.