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.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Topic Video
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+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. 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Second law of motion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON