A particle starts from rest and traverses a distance 2𝑥 with uniform acceleration, then moves uniformly over a further distance 4𝑥 and finally comes to rest after moving a further distance 6𝑥 under uniform retardation. Assuming entire motion to be rectilinear motion, the ratio of average speed over the journey to the maximum speed on its way is

Question : A particle starts from rest and traverses a distance 2𝑥 with uniform acceleration, then moves uniformly over a further distance 4𝑥 and finally comes to rest after moving a further distance 6𝑥 under uniform retardation. Assuming entire motion to be rectilinear motion, the ratio of average speed over the journey to the maximum speed on its way is

(A) 4/5

(B) 3/5

(C) 2/5

(D) 1/5

Answer : option (B)

Solution :

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