TS EAMCET · Physics · Motion In Two Dimensions
Rain is falling vertically with a speed of \(30 \mathrm{~m} / \mathrm{s}\). A man rides a bicycle with a speed of \(10 \mathrm{~m} / \mathrm{s}\) from East to West direction. At what the angle with the vertical, he sees the rain falling?
- A \(\tan ^{-1}\left(\frac{1}{3}\right)\) towards West
- B \(\tan ^{-1}(3)\) towards West
- C \(\tan ^{-1}\left(\frac{1}{3}\right)\) towards East
- D \(\tan ^{-1}(3)\) towards East
Answer & Solution
Correct Answer
(A) \(\tan ^{-1}\left(\frac{1}{3}\right)\) towards West
Step-by-step Solution
Detailed explanation
Given, speed of rain in vertical direction, \(v_r=30 \mathrm{~m} / \mathrm{s}\) The given situation is shown in the above figure. If \(\theta\) be the angle from vertical in south direction, then, \(\tan \theta=\frac{v_m}{v_r}=\frac{10}{30}=\frac{1}{3}\)…
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