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STD 11 - 3.2 , motion in plane — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 3.2 , motion in plane4 Marks
MCQ
A person running horizontally observes that rain is falling on his head vertically with speed $10\,m/s$. He stops and observes that rain is coming at an angle $30^o$ with vertical., find the speed with which man was running
  • A
    $20\,m/s$
  • B
    $\frac{{20}}{{\sqrt 3 }}\,m/s$
  • C
    $10\sqrt 3\,m/s $
  • ✓
    $\frac{{10}}{{\sqrt 3 }}\,m/s$
✓

Answer

Correct option: D.
$\frac{{10}}{{\sqrt 3 }}\,m/s$
d
$\mathrm{V}_{\mathrm{m}}=\mathrm{V}_{\mathrm{r}} \sin 30^{\circ}$

$=\frac{20}{\sqrt{3}} \times \frac{1}{2}=\frac{10}{\sqrt{3}} \mathrm{m} / \mathrm{s}$

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