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Title: You are traveling on an airplane. The velocity of the plane with respect to the air is 190 m/s due ... Post by: jhhong1247 on Sep 9, 2014 You are traveling on an airplane. The velocity of the plane with respect to the air is 190 m/s due east. The velocity of the air with respect to the ground is 32 m/s at an angle of 30° west of due north.
What is the heading of the plane with respect to the ground? (Let 0° represent due north, 90° represents due east). How far east will the plane travel in 1 hour? Please help me with this question !! I have tried to solve it for more than two hours ; :sweating: ;( Title: You are traveling on an airplane. The velocity of the plane with respect to the air is 190 m/s due ... Post by: f_zah1 on Sep 9, 2014 Okay, I finished answering this with 170 as the velocity and a velocity of the air with respect to the ground of 32 m/s. You may use the same strategy.. :)
The velocity of the plane with respect to the air v = 170 i m/s The velocity of the air with respect to the ground v ' = 32 cos 30 x (-i) + 32 sin 30 x ( j ) = -27.712 i + 16 j 1)The velocity of the plane with respect to the ground v " = v - v ' =197.712 i -16 j The speed of the plane with respect to the ground v " = SQRT[ 197.712 2 + (-16) 2 ] = 198.358 m / s 2)The heading of the plane with respect to the ground θ = tan - 1( 16 / 197.712 ) = 4.626 degrees south of east 3)Time t = 1 h = 3600 s Distance travel by plane in east direction with in 1 hour time = Speed in east x time = 197.712 m / s x 3600 s = 711.763 km |