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t=av+b*(v^2)/2+c
put t=0 and v=0
and find out c
and put it and find out final ans

Did you just multiply the bracket by v? Also why did you divide by 2?

i give the solution after integration

and integration of vdv=(v^2)/2

u got it or not reply fast

I'm an idiot, figured it out. Need more practice on simple indefinite integrals!