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

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

(A) \dfrac{v_{1}^{2}v_{2}^{2}}{v_{1}^{2}+v_{2}^{2}}

(B) \dfrac{v_{1}+v_{2}}{2}

(C) \dfrac{v_{1}+v_{2}}{2}

(D) \dfrac{2v_{1}v_{2}}{v_{1}+v_{2}}

Answer : option (D)

Solution :

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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