Physcs
posted by David DiFranco
A pilot is flying from City A to City B which is 300 km [NW]. If the plane will encounter a constant wind of 80 km/h from the north and the schedule insists that he complete his trip in 0.75 h, what air speed and heading should the plane have?

Henry
Vp = 300km[135o]/0.75h = 400 km/h[135o]
Without the wind.
Vp + Vw = 400km/h[135] = 282.84+282.84i
Vp  80i = 282.84 + 282.84i
Vp = 282.84 + 282.84i + 80i
Vp = 282.84 + 362.8i=460.4km/h[128o] = 460.4km/h[38o] W. of N. With the wind
blowing.
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