Question

An airplane maintains a speed of 627 km/h relative to the air it is flying through as it makes a trip to a city 787 km away to the north. (Assume north is the positive y-direction and east is the positive x-direction.) (a) What time interval is required for the trip if the plane flies through a headwind blowing at 38.4 km/h toward the south

Answer 1

Answer:1.33 hr

Step-by-step explanation:

Given

Speed of airplane relative to air=627 km/h

Distance traveled =787 km

Speed of wind=38.4 km/h

Wind is blowing in opposite direction therefore net speed is

`v_(net)=627-38.4=588.6 km/h`

thus time taken is

`t=(distance)/(speed)`

`t=(787)/(588.6)=1.33 hr`