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Motion In Straight Line

Question
CBSEENPH11020672

A particle covers half of its total distance with speed v1 and the rest half distance with speed v2. Its average speed during the complete journey is

  • v1v/ v1 + v2

  • 2v1v2/v1 + v2

  • 2v12v22 / v12 + v22

  • v1 + v2 / 2

Solution

B.

2v1v2/v1 + v2

Velocity v = s / t
s = vt
The average speed of particle
straight v subscript av space equals space fraction numerator straight s space plus space straight s over denominator begin display style straight s over straight v subscript 1 end style plus begin display style straight s over straight v subscript 2 end style end fraction

straight v subscript av space equals space fraction numerator 2 straight v subscript 1 straight v subscript 2 over denominator straight v subscript 1 space plus straight v subscript 2 end fraction