Posted by Lucy on Tuesday, October 12, 2010 at 8:40pm.
You are piloting a small plane, and you want to reach an airport 450 km due south in 3.0 hours. A wind is blowing from the west at 80 km/h. What heading and airspeed should you choose to reach your destination in time?

physics  Henry, Wednesday, October 13, 2010 at 9:33pm
V = 450 km / 3 h =150km/h S(no wind)
The wind would cause the plane to fly
in a direction SOUTH of EAST.To nullify
the affect of the wind, the plane must fly in a direction SOUTH of WEST.We must reduce the affect of hor. component of the wind. It has no ver.
component:
80 + x = 0,
x = 80 km/h WEST,
150 + Y = 150,
Y = 0.
tanA = 150/80 = 1.875,
A = 61.9 Deg S. of W. = 241.9 Deg CCW),
V = 80/cos241.9 = 170 km/h.
The plane must head 61.9 deg SOUTH of
WEST at a speed of 170 km/h.
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