yes use that equation!
1). set v to any letter, i chose v. set v0 = 0 because it starts from rest. plug in L for Δx. solve for a. i got a = v2 / 2L.
2). using the V2=v02+2ax equation, set v = 1/2v, v0 = 0, and a = v2 / 2L. solve for Δx. i got Δx = L/4.
hope this helps!
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