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) = 0.1 m, the y component of the velocity is zero and the y component of the acceleration is ay(0)= 0.04 m/s2. As t approaches infinity, the y component of the velocity approaches vy(∞) = 0.5 m/s. What is the value of A, C, and D? Please show work so I can understand.
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) = 0.1 m, the y component of the velocity is zero and the y component of the acceleration is ay(0)= 0.04 m/s2. As t approaches infinity, the y component of the velocity approaches vy(∞) = 0.5 m/s. What is the value of A, C, and D? Please show work so I can understand.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 13OQ: Figure OQ1.13 shows two vectors D1 and D2. Which of the possibilities (a) through (d) is the vector...
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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) = 0.1 m, the y component of the velocity is zero and the y component of the acceleration is ay(0)= 0.04 m/s2. As t approaches infinity, the y component of the velocity approaches vy(∞) = 0.5 m/s.
What is the value of A, C, and D? Please show work so I can understand.
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