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

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

$t=\frac{distance}{speed}$

$t=\frac{787}{588.6}=1.33 hr$