Answer:
1030 mph
Explanation:
The new velocity equals the initial velocity plus the wind velocity.
First, in the x (east) direction:
vₓ = 335 mph + 711 cos 19° mph
vₓ = 1007 mph
And in the y (north) direction:
vᵧ = 0 mph + 711 sin 19° mph
vᵧ = 231 mph
The net speed can be found with Pythagorean theorem:
v² = vₓ² + vᵧ²
v² = (1007 mph)² + (231 mph)²
v ≈ 1030 mph
