# physics

posted by alpres

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?

1. Henry

d = 300km[135o]

V1 = 300km[135o]/0.75h = 400 km/h[135o]
without wind.
Vp + Vw = 400o[135]
Vp + 80[-90o] = 400[135]
Vp = 400[135] - 80[-90]
Vp=400*cos135+i400*sin135 - (80*Cos(-90)+i80*sin(-90))
Vp = -282.84+i282.84 - (0-i80)
Vp = -282.84 + i362.84 = 460km[128o]
= Velocity and heading of plane.

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