(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

In an experiment to determine the viscosity of some oil, a ball is dropped into some oil. The position of the ball is given by the formula y=Y+At+Be-Ct. At t=0, y=0.070 m, the velocity dy/dt is 0 and the acceleration is 0.0983 m/s^{2}. As t→∞ the velocity approaches 0.480 m/s. What is the value of Y in MKS units?

2. Relevant equations

y=Y+At+Be-Ct

v_{y}(t)=A+-CBe^{-Ct}

a_{y}(t)=C^{2}Be^{-Ct}

3. The attempt at a solution

With four unknowns (Y,A,B,C), I came up with three equations:

B+Y=0.070m

A=CB

BC^{2}=0.0983

I wasn't sure what to do as t→∞

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# Homework Help: Ball dropped in viscous oil

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