Suppose a(t) = (15/2)sqrt(t) + 9e^-t, v(0) = -9, and s(0) = 11. Find s(t).

V(t) = 15/2*2/3*t^(3/2) -9e^-t +c

=5t^(3/2)-9e^(-t)+c

V(0) = -9 = -9 +c

c= 0

V(t) = 5t^3/2-9e^-t

s(t) = 2t*^5/2 +9e^-t +c

S(0) = 11 = 9+c

c= 2

s(t) = 2t^5/2+9e^-t+2

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