For the motion described by metres

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

Problem

For the motion described by s(t)=5+2t4s(t)=\sqrt{5+2t^{4}} metres, what is the velocity of the particle at t=1 st=1\,\text{s}? (a) 87  m s−1\displaystyle \frac{8}{\sqrt{7}}\;\text{m s}^{-1} (b) 27  m s−1\displaystyle \frac{2}{\sqrt{7}}\;\text{m s}^{-1} (c) 47  m s−1\displaystyle \frac{4}{\sqrt{7}}\;\text{m s}^{-1} (d) 47  m s−1\displaystyle \frac{4}{7}\;\text{m s}^{-1}

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