MHT CET · Physics · Motion In One Dimension
A vehicle runs on a straight road of length ' L '. It travels half the distance with speed V and the remaining distance with speed \(\frac{\mathrm{V}}{3}\). Its average speed is
- A \(\frac{3 \mathrm{~V}}{2}\)
- B V
- C \(\frac{\mathrm{V}}{2}\)
- D \(\frac{2 \mathrm{~V}}{3}\)
Answer & Solution
Correct Answer
(C) \(\frac{\mathrm{V}}{2}\)
Step-by-step Solution
Detailed explanation
Average velocity, \(\mathrm{V}_{\mathrm{avg}}=\frac{2 \mathrm{~V}_1 \mathrm{~V}_2}{\mathrm{~V}_1+\mathrm{V}_2}\) Given \(\mathrm{V}_1=\mathrm{V}\) and \(\mathrm{V}_2=\frac{\mathrm{V}}{3}\)
\(\therefore \quad \mathrm{V}_{\text {avg }}=\frac{2 \times \mathrm{V} \times \frac{\mathrm{V}}{3}}{\mathrm{~V}+\frac{\mathrm{V}}{3}}=\frac{2 \mathrm{~V}^2}{3} \times \frac{3}{4 \mathrm{~V}}=\frac{\mathrm{V}}{2}\)
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