A particle’s displacement is m

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

A particle’s displacement is s(t)=ln⁡(1+e3t2)s(t)=\ln\bigl(1+e^{3t^{2}}\bigr) m. Its velocity at t=1 st=1\,\text{s} is (a) 6e31+e3  m/s\dfrac{6e^{3}}{1+e^{3}}\;\text{m/s} (b) 61+e3  m/s\dfrac{6}{1+e^{3}}\;\text{m/s} (c) 3e31+e3  m/s\dfrac{3e^{3}}{1+e^{3}}\;\text{m/s} (d) 6e31+e6  m/s\dfrac{6e^{3}}{1+e^{6}}\;\text{m/s}

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