The position of a point mass on a horizontal track is modeled by centimeters

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The position of a point mass on a horizontal track is modeled by s(t)=3e0.2t−4sin⁡ts(t)=3e^{0.2t}-4\sin t centimeters, where tt is the time in seconds. Determine the instantaneous velocity of the mass at t=0t=0.

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