ExamBro
ExamBro
TS EAMCET · Physics · Motion In Two Dimensions

A man walking along a straight line with a velocity \(6 \mathrm{~km} / \mathrm{h}\) encounters rain falling vertically down with a velocity \(6 \sqrt{3} \mathrm{~km} / \mathrm{h}\). At what angle the man should hold his umbrella so that he can protect himself from rain

  1. A \(30^{\circ}\) with respect to ground
  2. B \(30^{\circ}\) with respect to vertical
  3. C \(45^{\circ}\) with respect to ground
  4. D \(60^{\circ}\) with respect to vertical
Verified Solution

Answer & Solution

Correct Answer

(B) \(30^{\circ}\) with respect to vertical

Step-by-step Solution

Detailed explanation

\[ \mathrm{v}_{\mathrm{V}}=6 \sqrt{3} \mathrm{~km} / \mathrm{h} \] \[ \begin{aligned} & \tan \alpha=\frac{6}{6 \sqrt{3}}=\frac{1}{\sqrt{3}} \\ & \tan \alpha=\tan 30^{\circ} \end{aligned} \] \(\alpha=30^{\circ}\) with respect to vertical
From TS EAMCET
Explore more questions on app