Solving for Time from a Displacement Integral
The displacement, $$s(T)$$, of a particle over the time interval $$[0, T]$$ is given by $$s(T) = \int_0^T 3e^{-t} dt = 3(1 - e^{-T})$$. Find the time $$T$$ at which the displacement is $$2.1$$.
A
$$-\ln(0.3)$$
B
$$-\ln(0.7)$$
C
$$\ln(0.3)$$
D
$$\ln(2.1)$$
E
$$-\ln(2.1)$$
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