Mathematics

Mathematics

Problem

For 0≤t≤ln⁡40\le t\le \ln 4, a particle in the plane has velocity v(t)=⟨e−t, 0⟩\mathbf v(t)=\langle e^{-t},\,0\rangle meters per second. Determine both the displacement vector and the total distance traveled during this time interval.

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