AP EAMCET · PHYSICS · Motion In One Dimension
If a person moving along a straight line path covers first half distance with velocity ' \(\mathrm{V}_1\) ' and the next half distance with velocity ' \(\mathrm{V}_2\) ', then the average velocity of the person is
- A \(\frac{V_1+V_2}{2}\)
- B \(\frac{\left(V_1+V_2\right)}{2 \sqrt{V_1 V_2}}\)
- C \(\frac{2}{\frac{1}{V_1}+\frac{1}{V_2}}\)
- D \(\frac{V_1 V_2}{V_1+V_2}\)
Answer & Solution
Correct Answer
(C) \(\frac{2}{\frac{1}{V_1}+\frac{1}{V_2}}\)
Step-by-step Solution
Detailed explanation
Time taken for the first half distance is \(t_1=\frac{d}{2 v_1}\) Time taken for the second half distance is \(t_2=\frac{d}{2 v_2}\) Average velocity \(=\frac{\text { Total distance }}{\text { Total time }}\)…
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