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) = 0.05 m, the y component of the velocity is zero and the y component of the acceleration is a, (0) = 0.035 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.

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 44P: Three displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units,...
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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) = 0.05 m, the y component of the velocity is zero and the y component of the acceleration is a,(0) = 0.035 m/s". As t approaches
infinity, the y component of the velocity approaches vy(0) = 0.55 m/s.
Hint: You will likely want to answer the questions in a different order than presented.
What is the yalue of A? Remember to include units.
Transcribed Image Text: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) = 0.05 m, the y component of the velocity is zero and the y component of the acceleration is a,(0) = 0.035 m/s". As t approaches infinity, the y component of the velocity approaches vy(0) = 0.55 m/s. Hint: You will likely want to answer the questions in a different order than presented. What is the yalue of A? Remember to include units.
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