A farmer completes one round of a rectangular field of length 12m and breadth
5m in 50 seconds. What will be the distance covered and the displacement at
the end of 3 minutes 45 seconds?
Answers
Given : A farmer completes one round of a rectangular field of length 12m and breadth 5m in 50 seconds.
To Find : What will be the distance covered and the displacement at
the end of 3 minutes 45 seconds
Solution:
one round of a rectangular field of length 12m and breadth 5m
Perimeter = 2 ( 12 + 5) = 34 m
Hence distance covered in 50 secs = 34 m
3 minutes 45 seconds = 225 sec
Distance covered in 225 secs = (34/50) 225 = 153 m
153 m = 34 * 4 + 17
in 17 m he has covered 12 m + 5 m
and both are perpendicular as he reached diagonal corner of rectangle
Hence Displacement = Final position - Initial position
= √12² + 5²
= 13 m
Distance covered in 3 minutes 45 seconds = 153 m
and Displacement = 13 m
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