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:
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Question

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:

G1 Physics · Accepted Answer

Step 1: Let total distance be 2x. The two halves are x and x. Step 2: Total time = x/v₁+x/v₂. Step 3: Average speed = 2x/[x/v₁+x/v₂] = 2v₁v₂/(v₁+v₂). Final answer: B.