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Given, v=k^2t^(3/2)
where k=(2^0.5)(m^0.5)/(s^5/4)
then, k^2 = (2m)/(s^5/2)
:. v = (2m)(t^3/2)/(s^5/2)
=>ds/dt = (2m)(t^3/2)/(s^5/2)
=>s^5/2 ds = (2m) t^3/2 dt
integrating, from t=0 to t=4 ,
(2/7)s^7/2 = (2m) [(2/5) 4^(5/2)]
=> (7/2) s^7/2 = 25.6m
=> s^(7/2) = (89.6m)
=> s = (89.6m)^(7/2)
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