v (km/hr)t (hours)-bThe figure above gives your velocity during a trip starting from home. Positive velocities take you away from home and negativevelocities take you toward home. Condider a=1 and b= 25.Where are you at the end of the 5 hours?ikm away from home.When are you farthest from home?t = How far away are you at that time?km

Note: Since neither the function's expression nor the data points are provided, the solution will be…

Answered: v (km/hr) t (hours) -b The figure above…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

See similar textbooks

Similar questions

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?
Can the average rate of change of a function be constant?
Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.
Explain the difference between the average rate of change of y as x changes a to b, and the instantaneous rate of change of y at x=a
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?
You car is moving along in cruise control at a constant speed of 88.3 ft/s (about 60 mi/hr). A text message appears on your phone and you look down to read it. When you look back up at the road, you see a car at a complete stop in your lane 156 ft ahead of you. It takes 0.39 s for you to react and apply the brakes. When the brakes are applied your car experiences an acceleration of -32.3 ft/s2. Fortunately, you are able to avoid hitting the other car. What is the distance between the two cars when you come to a complete stop? (0.9 ft).
An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel fromt = 0 to t = 35? 5+ 3 5 10 15 20 25 35 40 45 time (sec) feet 30 2. velocity (f/sec)
Determine how long it will take for a train to stop at a station at a certain velocity and deceleration. See image
The atmospheric pressure decreases with increasing altitude. At sea level, the average air pressure is one atmosphere (1.033227 kilograms per square centimeter). The table shows the pressures p (in atmospheres) at selected altitudes h (in kilometers).answer the following question/s?(see the graph as attached ) Use the model to estimate the pressure when h =13.
Racing cars driven by Chris and Kelly are side by side at the start of a race. The table shows the velocities of each car (in miles per hour) during the first ten seconds of the race. Use the Midpoint Rule to estimate how much farther Kelly travels than Chris does during the first ten seconds.
A police car traveling south toward Sioux Falls at 160km/h pursues a truck traveling east away from Sioux Falls, lowa, at 140 km/h (See figure below). 160 km/h Sioux Falls 140 km/h At time t = 0, the police car is 40 km north and the truck is 60 km east of Sioux Falls. Calculate the rate at which the distance between the vehicles is changing att = 0 minutes. (Use decimal notation. Give your answer to three decimal places.) km/h help (decimals) The rate is =
A balloon is inflating at a constant rate of 9 cubic centimeters per second. When the volume of the balloon is 367 cubic centimeters, what is the rate of change of the surface area? (S 4Tr2 and V %3D

SEE MORE QUESTIONS

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS