The velocity of a particle is given by meters per second

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

The velocity of a particle is given by v(t)=2t+1t2+1v(t)=\dfrac{2t+1}{t^{2}+1} meters per second. What is the particle’s acceleration at t=1t=1 second? (a) +12 m/s2+\dfrac{1}{2}\text{ m/s}^2 (b) −34 m/s2-\dfrac{3}{4}\text{ m/s}^2 (c) −12 m/s2-\dfrac{1}{2}\text{ m/s}^2 (d) −1 m/s2-1\text{ m/s}^2

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