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A bead moves along straight horizontal w...

A bead moves along straight horizontal wire of length `L`, starting from the left end with a velocity `v_(0)`. Its retardation is proportional to the distance from the right end of the wire. Find the initial retardation (in `m//s^(2)`) (at let end of the wire) if the bead reaches the right end of the wire with a velocity `(v_(0))/2`. (given `v_(0)=5m//s` and `L=1m`)

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