Posted by **aaa** on Saturday, September 17, 2011 at 1:09pm.

You are traveling on an airplane. The velocity of the plane with respect to the air is 180 m/s due east. The velocity of the air with respect to the ground is 40 m/s at an angle of 30° west of due north.

1)What is the speed of the plane with respect to the ground?

2)What is the heading of the plane with respect to the ground? (Let 0° represent due north, 90° represents due east)?

3)How far east will the plane travel in 1 hour?

- physics -
**Henry**, Sunday, September 18, 2011 at 8:43pm
1. Vpa = 180m/s. @ 0 deg.

Vag = 40m/s @ 120 deg,CCW.

Vpg = Vpa + Vag,

Vpg = (180 + 40cos120) + i40sin120,

Vpg = 160 + i34.64,

Vpg=sqrt((160)^2 + (34.64)^2)=163.7m/s.

2. tanA = Y / X = 34.64 / 160 = 0.2165,

A = 12.2 deg,CCW. = 12.2deg. North of

East.

3. 1 hr = 3600s.

d = Vt = 163.7m/s * 3600s = 589,320m.

- physics -
**bernie**, Sunday, February 15, 2015 at 4:06pm
Last answer is wrong, but thanks for the first two.

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