An airplane flies at 200.0 km/h relative to the air. What is the velocity of the plane relative to the ground if it flies during the following wind conditions?

a. a 50.0-km/h tailwind
b. a 50.0-km/h headwind.

54y65

54y657ukjii7n6b4ujvnyrnhrw

help me

To find the velocity of the plane relative to the ground, we need to consider the effect of the wind on the plane's motion. The plane's velocity relative to the ground can be determined by adding or subtracting the velocity of the wind from its velocity relative to the air.

a. Tailwind: A tailwind means that the wind is blowing in the same direction as the plane's motion. In this case, we need to add the wind speed to the plane's velocity relative to the air.

Velocity of the plane relative to the ground = Velocity of the plane relative to the air + Velocity of the tailwind

Given:
Velocity of the plane relative to the air = 200.0 km/h
Velocity of the tailwind = 50.0 km/h

Therefore,
Velocity of the plane relative to the ground = 200.0 km/h + 50.0 km/h = 250.0 km/h

b. Headwind: A headwind means that the wind is blowing in the opposite direction to the plane's motion. In this case, we need to subtract the wind speed from the plane's velocity relative to the air.

Velocity of the plane relative to the ground = Velocity of the plane relative to the air - Velocity of the headwind

Given:
Velocity of the plane relative to the air = 200.0 km/h
Velocity of the headwind = 50.0 km/h

Therefore,
Velocity of the plane relative to the ground = 200.0 km/h - 50.0 km/h = 150.0 km/h

Thus, the velocity of the plane relative to the ground will be 250.0 km/h during a 50.0-km/h tailwind and 150.0 km/h during a 50.0-km/h headwind.