Question

Airline pilots who fly round trips know that their round-trip travel time increases if there is any wind. To see this, suppose that an airliner cruises at speed v relative to the air.

PART A

For a flight whose one-way distance is d, write an expression for the interval Δtcalm needed for a round trip on a windless day. Ignore any time spent on the ground, and assume that the airliner flies at cruising speed for essentially the whole trip.

Express your answer in terms of the variables v and d.

PART B

Now assume there is a wind of speed w. It doesn't matter which way the wind is blowing; all that matters is that it is a head wind in one direction and a tail wind in the opposite direction. Write an expression for the time interval Δtwind needed for a round trip on the day this wind is blowing.

Express your answer in terms of the variables v, d, and w.

Answer 1

Given values are - cuising speed of airliner. w = wind speed. da one-way distance PART A we know, Velocity = distance time t Now, t= d - 1 for round trip At calm = 2d PART B using equation @ we have At wind = d d فا - معرکه + ۱۶ ار for tail wind for headwind d co-w) + d(v twe) = adv uz-w² vez_w2 At wind= adve,