A butterfly is flying with a velocity 4 2   m   s - 1 in north-east direction. Wind is slowly…

A butterfly is flying with a velocity 42 m s-1 in north-east direction. Wind is slowly blowing at 1 m s-1 from north to south. The resultant displacement of the butterfly in 3 seconds is:
  1. 3 m
  2. 20 m
  3. 122 m
  4. 15 m

Solution

V→BW=42cos45i^+42sin45j^
=4i^+4j^
V→w=-j^
V→B=V→BW+V→w=4i^+3j^
S→B=V→B×t=(4i^+3j^)×3=12i^+9j^
S→B=(12)2+(9)2=15 m

Asked in: JEE Main 2021 (20 Jul Shift 1)

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