CBSE Class 9 Answered
A farmer moves along the boundary of a square field of side 10m in 40s. What will be the magnitude of displacement of the farmer at the end of 2 minutes 20 seconds from his initial position?
Asked by Priyaanshu Roy | 30 Jun, 2013, 05:46: PM
Expert Answer
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 = (AB2 + BC2)1/2 = (100+100)1/2 = 10?2 m
Answered by | 01 Jul, 2013, 11:19: AM
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