the pilot goodspeed has a small plane named the fosberry flop the flop has a speed of 265km/h with respect to the air if the heads north determine its resultant velocity when it encounters a 32.0km/h headwind a 32.0kn/h tailwind a32.0km/h cross-wind[W]
To find the resultant velocity of the plane in each scenario, we can use vector addition.
1. Headwind:
Resultant velocity = Speed of the plane - Speed of the wind
Resultant velocity = 265 km/h - 32 km/h = 233 km/h North
2. Tailwind:
Resultant velocity = Speed of the plane + Speed of the wind
Resultant velocity = 265 km/h + 32 km/h = 297 km/h North
3. Cross-wind:
Since the cross-wind is perpendicular to the direction of the plane, we can use Pythagorean theorem to find the resultant velocity:
Resultant velocity = sqrt((265 km/h)^2 + (32 km/h)^2) = sqrt(70489 + 1024) = sqrt(71513) ≈ 267 km/h
Therefore, the resultant velocity when encountering a headwind is 233 km/h North, when encountering a tailwind is 297 km/h North, and when encountering a cross-wind is 267 km/h.