In an experiment to determine the viscosity of some oil, a ball is dropped into the oil. The position of the ball is given by the formula y(t) = A + Bt +C e−Dt, where y is given in m, and t is the time in s. At t = 0, y(0) = 0.05 m, the y component of the velocity is zero and the y component of the acceleration is ay(0)= 0.02 m/s2. As t approaches infinity, the y component of the velocity approaches vy(∞) = 0.55 m/s. Hint: You will likely want to answer the questions in a different order than presented. I am trying to figure this qeustion out, I need to find out what each of the variables in the fromula are. So far I have only found out what B is because I just toook the limit of the velocity function as t approaches zero, which gave me 0.55m/s. I am just stuck on how I would go about solving for the other variables in the question.
In an experiment to determine the viscosity of some oil, a ball is dropped into the oil. The position of the ball is given by the formula y(t) = A + Bt +C e−Dt, where y is given in m, and t is the time in s. At t = 0, y(0) = 0.05 m, the y component of the velocity is zero and the y component of the acceleration is ay(0)= 0.02 m/s2. As t approaches infinity, the y component of the velocity approaches vy(∞) = 0.55 m/s.
Hint: You will likely want to answer the questions in a different order than presented.
I am trying to figure this qeustion out, I need to find out what each of the variables in the fromula are. So far I have only found out what B is because I just toook the limit of the velocity function as t approaches zero, which gave me 0.55m/s. I am just stuck on how I would go about solving for the other variables in the question.
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