When traveling equal distances at different speeds, the average speed is given by the harmonic mean of the speeds. The formula for the average speed v for two equal distances traveled at speeds v₁ and v₂ is v = 2 / ((1/v₁) + (1/v₂)), which can be rearranged as 2/ v = 1/v₁ + 1/v₂.
A person travelling on a straight line moves with a uniform speed v₁ for a distance x and with a uniform speed v₂ for the next equal distance. The average speed v is given by
Asked in WBCS Main Paper 4 2021 · Topic: Mechanics (Newton's Laws of Motion and their applications)
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Answer: C. \( \frac{2}{v} = \frac{1}{v_1} + \frac{1} {v_2} \)
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