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A plane is pointed in the positive x direction and is flying with an speed of (2

ID: 2219032 • Letter: A

Question

A plane is pointed in the positive x direction and is flying with an speed of (200, 0, 0) m/s relative to the air. However, due to an exceptionally strong updraft, the air is moving in the positive z direction at 50.0 m/s with respect to the ground. Find the velocity of the plane with respect to the ground. Answer in the form (___,___,___)m/s

Explanation / Answer

the rule is : the speed of A relative to B is Z => A - B = Z However, you are comparing between 3 things in this question A = plane B = air C = ground so your question is A - B = (200, 0, 0) ( plane relative to air) and B - C = (0,0,50) ( air relative to ground) So if you add up both of the equations A - B + B - C = (200,0,50) = A - C (plane relative to ground)

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