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標題:

Physics vector

發問:

A disoriented physics professor drives a distance 3.05 north, then a distance 3.95 west, and then a distance 1.70 south. Find the magnitude of the resultant displacement, using the method of components.

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Net displacement in the north direction = (3.05 - 1.7) units = 1.35 units Displacement in the west direction = 3.95 units Hence, magnitude of resultant displacement = square-root[1.35^2 + 3.95^2] units = 4.17 units Direction of displacement is at an angle of arc-tan(3.95/1.35) = 71.13 degrees west of north

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