You are traveling on an airplane. The velocity of the plane with respect to the

Question

You are traveling on an airplane. The velocity of the plane with respect to the air is 160 m/s due east. The velocity of the air with respect to the ground is 43 m/s at an angle of 30 west of due north Plane Ride What is the speed of the plane with respect to the ground? Plane Ride 2 143.48 Interactive Example Rescue 2What is the heading of the plane with respect to the ground? (Let 0 represent due north, 90° represents due east) Car on curve 14.957East of due North Submt Car on Curve 2 )How far east will the plane travel in 1 hour? 160 m Submit Survey Question) 4) Below is some space to write notes on this problem

Explanation / Answer

a) speed = vp + va

= 160 i + 43( -sin30 i + cos 30 j)

= 160 i + (-21.5 i + 37.24 j)

= 138.5 i + 37.24 j

v = sqrt [138.52 + 37.242] = 143.42 m/s

b) theta = tan-1 [37.24 / 138.5]

= 15 deg

c) d = v t = 143.42 * 3600

= 5.16 * 105 m

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