Hi all, I have one from a sample exam paper I don't know how to approach. I feel stupid for not knowing but I have tried a few things but am getting nowhere. Here it is: "The mass (m) hanging on an elastic band moves according to the equation [m*(d2s/dt2) = - mg/p(s-L)],
where (s) is the displacement of the mass, (L) is the natural length of the band and (p) is the constant parameter (called reference elongation). Find s as a function of time subject to the initial conditions:
s = s(subnaught), ds/dt = 0 when t = 0.
Any help would be vastly appreciated.
OCW Scholar - Multivariable Calculus
Stacey Warren - Expert brainly.com
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Cancel the m's and integrate twice. Your initial conditions will tell you what to substitute in for your constants of integration (capital C's in the antiderivatives).
More detail upon request; hope this helps!