Find v(t) and a(t) for s(t) = -3(t2 + 1)2, then find the velocity and acceleration at 1 second.
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v(t) = ds/dt = -12t(t^2+1)
a(t) = dv/dt = -12(t^2+1) - 24t^2 = -36t^2 -12
at t =1
v(1) = -12*2 = -24
a(1) = -36-12=-48
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