Physics Problem PLEASE HELP!!!
You are traveling on an airplane. The velocity of the plane with respect to the air is 150 m/s due east. The velocity of the air with respect to the ground is 36 m/s at an angle of 30° west of due north.
What is the speed of the plane with respect to the ground?

Question

Physics Problem PLEASE HELP!!!
You are traveling on an airplane. The velocity of the plane with respect to the air is 150 m/s due east. The velocity of the air with respect to the ground is 36 m/s at an angle of 30° west of due north.
What is the speed of the plane with respect to the ground?

sidsiddhartha · Answer

air speed can be represented as v(air)=150 i. and wind speed will be v(wind)=-(36/2)i+((36*sqrt(3))/2) *j
velocities are vectors, so they obey the laws of vector addition so add two vectors u will get speed of plane wrt grd

sidsiddhartha · Answer

velocity wrt grd=135.5 m/s

anonymous · Answer

Wow thats correct! Thanks! :) I got an answer of 154.3. dont know where I did wrong.

anonymous · Answer

Be careful, Vp must be on the x axis in your solution. as said in the question 'The velocity of the plane with respect to the air is 150 m/s due EAST.'