# Physics

The pilot of an aircraft wishes to fly due
west in a 50.0 km/h wind blowing toward
the south. The speed of the aircraft in the absence of a wind is 228 km/h.

a) How many degrees from west should the
aircraft head? Let clockwise be positive.

b) What should the plane’s speed be relative to the ground? Answer in units of km/h

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1. a. Vpa = Vpg + Va = -228 km/h
Vpg - 50i = -228
Vpg = -228 + 50i

Tan Ar = Y/X = 50/-228 = -0.21930
Ar = -12.4o = Reference angle.

A = -12.4 + 180 = 167.63oC CCW = 12.4o N. of W. = Heading.

b. Vpg = X/CosA = -228/Cos167.63 = 233.4
km/h. = Plane's speed relative to gnd.

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