The pilot of an aircraft wishes to fly due west in a 50.0km/h wind blowing toward the south. The speed of the aircraft in the absence of wind is 305 km/h.
a) In what direction should the aircraft head?
b) What is the speed of the aircraft relative to the ground?
2007-10-20 09:18:01 · 1 answers · asked by brainless storm 1 in Science & Mathematics ➔ Physics
The pilot of an aircraft wishes to fly due west in a 50.0km/h wind blowing toward the south. The speed of the aircraft in the absence of wind is 305 km/h.
a) In what direction should the aircraft head?
b) What is the speed of the aircraft relative to the ground? Vpg?
2007-10-20 11:08:14 · update #1
Resultant - V=305 km/h
Vsouth = Vcos(A)
V(east)= 50km
A=arcsin(V(west)/V)
A= arcSin(50/305)=9.4 deg
if the eastern direction.
If 0 degrees is East then he should head (9.4 - 90 )deg or 279.4 deg.
b) The speed of the aircraft remains the same regardless of direction V=305 km/h.
2007-10-20 09:32:35 · answer #1 · answered by Edward 7 · 0⤊ 0⤋