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MHT CET · Physics · Motion In One Dimension

A body covers half of its distance with speed \(u\) and the other half with a speed \(v\), the average speed of the body is

  1. A \(\frac{2 u v}{u+v}\)
  2. B \(\frac{u-v}{2}\)
  3. C \(\frac{u+v}{2 u v}\)
  4. D \(\frac{u+v}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{2 u v}{u+v}\)

Step-by-step Solution

Detailed explanation

Average speed \(=\frac{\text { Total Distance }}{\text { Time }}=\frac{d}{\left(\frac{d / 2}{u}\right)+\left(\frac{d / 2}{v}\right)}=\frac{2 u v}{u+v}\)