Pattie G.
asked • 05/17/22Calculus and Vector question
An airplane travel is due north at an airspeed of 800 km/ h. It encounters a wind blowing at 90 km/ h coming from the west. What is the resultant velocity of the airplane relative to the ground ? Include its diagram.
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1 Expert Answer
The plane is travelling to the north, and the wind is blowing east (coming from the west), so the plane's resultant velocity will be in the the northeast direction.
The magnitude of the velocity will be:
(800 km/h)2 + (90 km/h)2 = vf2
648,100 km2/h2 = vf2
805 km/h = vf
The direction of travel will be:
tan-1(90 / 800) = 6.4 degrees east of north.
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Mark M.
Did you draw and label a diagram?05/17/22