The displacement of a particle on a vibrating string is given by the equation s(t) = 14 +sin(14nt) where s is measured in centimeters and t in seconds. Find the velocity (in cm/s) of the particle after t seconds.v(t) =cm/s

Answered: Image /qna-images/answer/e9b3a405-0dec-4997-acc2-361c4f379f02.jpg

Answered: The displacement of a particle on a…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...

See similar textbooks

Similar questions

Use sin0=0, sin2=1, and sin=0 to estimate sin3.
The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?
An arrow is shot from the ground into the air at an initial speed of 108 ft/sec. Use the formula h=16t2+v0t to determine when the arrow will be 180 feet from the ground. Round the nearest tenth of a second.
The resistance of a copper wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area. A copper wire with a diameter of 0.0126inch has a resistance of 64.9ohms per thousand feet. What length of 0.0201-inch-diameter copper wire will produce a resistance of 33.5ohms?
A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?
Pls help ASAP
A tank initially contains 300 gallons of water with 50lbs of salt disolved in the water. A brine solution is pumped into the tank at a rate of 5gal/min and the wellstirred mixture is pumped out of the tank at the same rate. The concentration of salt in the inflow is variable and is given by cin = (2 + sin(t/4))lbs/gal. Find the amount of salt in the tank at any time t.
A B dy For the equation + 7x²y = 0, y(0) = ¾, the value of y(1) is dx 7e-1 73 Te : ... :
Dsinx-sin3x [3] sin³x = find D and E. %3D E
The height of a ferris wheel above the ground is modelled by the function h(t) = - 0.5 sin 2t – 3, where h(t) represents the height in metres and t represents the time in seconds. Calculate the average rate of change of height of the ferris wheel from 2 to 4 seconds.
Solve For 0sO L 27 -sine%3DCOS 6 2.
The height of a buoy on a lake is changing during a storm. The height's rate of change can be modeled by r(t) = 0.5 cos(0.2t) feet per second where t is measured in seconds. Is the buoy's height increasing or decreasing at time t = 10 seconds? Why?

SEE MORE QUESTIONS

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

Elementary Algebra

Algebra

ISBN:

9780998625713

Author:

Lynn Marecek, MaryAnne Anthony-Smith

Publisher:

OpenStax - Rice University

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

Elementary Algebra

Algebra

ISBN:

9780998625713

Author:

Lynn Marecek, MaryAnne Anthony-Smith

Publisher:

OpenStax - Rice University

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

The displacement of a particle on a vibrating string is given by the equation s(t) = 14 + sin(14xt) where s is measured in centimeters and t in seconds. Find the velocity (in cm/s) of the particle after t seconds. 5 v(t) = cm/s