APFIVE Solving for Time from a Displacement Integral
For the displacement given by $$s(t)= \int_0^T 3e^{-t} dt = 3(1 - e^{-T})$$, solve for the time T when $$s(T)= 2.1$$. That is, find T that satisfies $$3(1 - e^{-T}) = 2.1$$.
A
$$\ln(0.3)$$
B
$$-\ln(2.1)$$
C
$$\ln(2.1)$$
D
$$-\ln(0.3)$$
E
$$-\ln(0.7)$$
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