a plane aims north at 450.0km/hr. the wind blows from the south at 100.0km/hr. what is the planes ground velocity.

vground=vair+vplane

Thanks. I got 550km/hr is it correct, and I don't know the plane direction

To find the plane's ground velocity, we need to consider the effect of both the plane's velocity (also known as the airspeed) and the wind velocity. The ground velocity is the combination of these two velocities.

Given:
Plane's airspeed (velocity aiming north): 450.0 km/hr
Wind's velocity (blowing from the south): 100.0 km/hr

To find the ground velocity, we can use vector addition. Since the plane is flying north, we can consider north to be the positive direction. However, since the wind is blowing from the south (opposite direction), we need to consider it as a negative quantity.

So, ground velocity = airspeed + wind velocity

Since the wind is blowing in the opposite direction, we subtract the wind velocity:

Ground velocity = 450.0 km/hr - 100.0 km/hr

Calculating the ground velocity:

Ground velocity = 350.0 km/hr (north)