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TS EAMCET · Physics · Motion In Two Dimensions

Car \(A\) is moving to the East with a speed of \(30 \mathrm{~km} / \mathrm{hr}\), and car \(B\) is moving to the North with the same speed. What is the velocity of car \(B\) as measured in Car \(A\) ?

  1. A \(42 \mathrm{~km} / \mathrm{hr}, 45\) North of West
  2. B \(42 \mathrm{~km} / \mathrm{hr}, 45\) East of North
  3. C \(60 \mathrm{~km} / \mathrm{hr}, 45\) South of East
  4. D \(42 \mathrm{~km} / \mathrm{hr}, 45\) South of East
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Correct Answer

(A) \(42 \mathrm{~km} / \mathrm{hr}, 45\) North of West

Step-by-step Solution

Detailed explanation

Given that, velocity of \(\operatorname{car} A\), \[ \begin{aligned} & v_A=30 \mathrm{~km} / \mathrm{h} \text { (toward east) } \\ & \Rightarrow \mathbf{v}_A=30 \hat{\mathbf{i}} \end{aligned} \] For car \(B, v_B=30 \mathrm{~km} / \mathrm{h}\) (toward North)…
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