TS EAMCET · Physics · Motion In Two Dimensions
Two cars \(A\) and \(B\) are moving with speeds \(v_A=120 \mathrm{~km} / \mathrm{h}\) and \(v_B=50 \mathrm{~km} / \mathrm{h}\) respectively in the directions as indicated by the arrow in the figure below. What is the relative speed of the car \(B\) with respect to car \(A\) ?
- A \(70 \mathrm{~km} / \mathrm{h}\)
- B \(120 \mathrm{~km} / \mathrm{h}\)
- C \(130 \mathrm{~km} / \mathrm{h}\)
- D \(170 \mathrm{~km} / \mathrm{h}\)
Answer & Solution
Correct Answer
(C) \(130 \mathrm{~km} / \mathrm{h}\)
Step-by-step Solution
Detailed explanation
The given situation is shown in the following figure Speed of car \(A\), \(v_A=120 \mathrm{~km} / \mathrm{h} \Rightarrow \mathbf{v}_A=-120 \hat{\mathbf{i}}\) Speed of car \(B\), \(v_B=50 \mathrm{~km} / \mathrm{h}\) \(\mathbf{v}_B=-50 \hat{\mathbf{j}}\) \(\therefore\) Relative…
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