A particle starts moving along a straight line from rest and covers 1/6th (one sixth)
of the total distance with uniform acceleration. Then it covers the next 1/3rd (one
third) of the total distance with the velocity acquired during the first lap. Finally it
is brought to stop over the remaining distance under constant uniform
deceleration. Find the ratio of the maximum speed of the particle to the average
speed of the particle over the entire journey.
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