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.

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Description: 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

Principles of Physics: A Calculus-Based Text

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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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Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows:

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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 a_y(0)= 0.04 m/s². As t approaches infinity, the y component of the velocity approaches v_y(∞) = 0.5 m/s.

What is the value of A, C, and D? Please show work so I can understand.

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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+Ce^−Dt, where y is given in m, and t is the time in s. At t=0, y(0)=0.07 m, the y component of the velocity is zero and the y component of the acceleration is ay(0)=0.015 m/s^2. As t approaches infinity, the y component of the velocity approaches vy(∞)=0.55 m/s. The problem asks you to find what A, B, C, and D are. I found that B = 0.55 m/s and I believe I can crack if I just knew what one more constant was. However, I am completely stumped.
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