A farmer moves along the
boundary of a square field of side
10 m in 40 s. What will be the
magnitude of displacement of the
farmer at the end of 2 minutes 20
seconds from his initial position?
Class 9th :- Ch 8 (Motion)
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Answer:
Displacement = AC = (AB + BC ) = (100+100) =10√2 m.
Explanation:
Side of the square = 10 m
Perimeter of the square = 4×10 = 40 m
He completes 1 round in 40 s.
So,
speed = 40/40 = 1 m/s
So, distance covered in 2 min 20 s or 140 s is = 140 × 1 = 140 m
Number of rounds of the square completed in moving through 140 m is = 140/40 = 3.5
In 3 rounds the displacement is zero. In 0.5 round the farmer reaches the diagonally opposite end of the square from his starting point.
Displacement = AC = (AB + BC ) = (100+100) =
10√2 m.
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