JEE Main 202120 JulyMorning Shift
- Exam
- JEE Main
- Year
- 2021
- Date
- 20 July
- Shift
- Morning Shift
- Subject
- Physics
- Chapter
- Motion in Two Dimensions
JEE Main 2021 · 20 July · Morning Shift · Physics · Motion in Two Dimensions
A butterfly is flying with a velocity 4 2 m s ^ - 1 in north-east...
A butterfly is flying with a velocity in north-east direction. Wind is slowly blowing at from north to south. The resultant displacement of the butterfly in seconds is:
Options
- A
- B
- C
- D
Correct answer
D.
Step-by-step solution
\overset{\to}{V}BW = 4\sqrt{2}\cos 4 5\overset{^}{i} + 4\sqrt{2}\sin 4 5\overset{^}{j}
= 4\overset{^}{i} + 4\overset{^}{j}
\overset{\to}{V}w = - \overset{^}{j}
\overset{\to}{V}B = \overset{\to}{V}BW + \overset{\to}{V}w = 4\overset{^}{i} + 3\overset{^}{j}
\overset{\to}{S}B = \overset{\to}{V}B \times t = ( 4\overset{^}{i} + 3\overset{^}{j} ) \times 3 = 12\overset{^}{i} + 9\overset{^}{j}
\left|\overset{\to}{S}B\right| = \sqrt{( 12{)}^{2} + ( 9{)}^{2}} = 15m