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Classical Mechanics

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Moderate

Race Track

CLMECH-GANVGK

A student is getting ready to run around a rectangular race track. The track's longer side is 80 m and points in the south-north direction. The track's shorter side is 35 m and points in the east-west direction. The student starts from one corner of the rectangle and first runs north to the end of the longer side, then turns west and runs to the end of the shorter side. The student then turns south and runs along the longer side. Unfortunately, he trips and falls after running 20 meters along the longer side.

What is the displacement of the student from his initial position?

A

$87 \space m$ at $66^o$ north of west

B

$87 \space m$ at $66^o$ west of north

C

$69 \space m$ at $60^o$ west of north

D

$69 \space m$ at $60^o$ north of west