Question: An exponential function is expressed as (x(t)=A e^{-alpha t}) with the values of (x(t)) known at (t=1) and (t=2) as (x(1)=0.752985) and (x(2)=0.226795), respectively. Determine

An exponential function is expressed as $x(t)=A e^{-\alpha t}$ with the values of $x(t)$ known at $t=1$ and $t=2$ as $x(1)=0.752985$ and $x(2)=0.226795$, respectively. Determine the values of $A$ and $\alpha$.

x(t), mm 6 4 2 t, ms 2 6 7 8 9

x(t), mm 6 4 2 t, ms 2 6 7 8 9 10 11 FIGURE 1.113 Resultant motion of two harmonic motions.

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