Final answer:
The plane will fly 300 km relative to the ground in 2 hours.
Step-by-step explanation:
The question involves calculating the ground speed of an airplane in the presence of a headwind. The airplane's airspeed is 200km/hr, and it is facing a headwind of 50km/hr. To find the speed of the plane relative to the ground, we need to subtract the speed of the wind from the airspeed of the plane. This results in a ground speed of 200km/hr - 50km/hr = 150km/hr. To calculate the distance traveled in 2 hours, we use the formula distance = speed × time.
The plane's airspeed is given as 200 km/h. However, it is flying into a headwind blowing from the east at 50 km/h. So, to find the plane's ground speed, we need to subtract the speed of the headwind from the airspeed.
Ground speed = Airspeed - Headwind speed = 200 km/h - 50 km/h = 150 km/h.
Since the plane is flying for 2 hours, we can calculate the distance it will fly relative to the ground by multiplying the ground speed by the time.
Distance = Ground speed × Time = 150 km/h × 2 hours = 300 km.