An object moves so that its position at time seconds is meters

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

Problem

An object moves so that its position at time tt seconds is s(t)=5e0.2tsin⁡(πt)s(t)=5e^{0.2t}\sin(\pi t) meters. What is the object’s velocity at t=0t=0? (a) 5 m/s5\text{ m/s} (b) −5π m/s-5\pi\text{ m/s} (c) 5π m/s5\pi\text{ m/s} (d) π m/s\pi\text{ m/s}

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