Jay and John used to travel together but because of the pandemic, they decided to go separately following different paths. Jay follows a path described by loge y = x starting from (0,1), while John begins from (0,2) and follows the route defined by the equation %3D dx y = 4x -3. If the two moves to the right at the same time where dt 1km/min, find the - %3D rate at which the distance between the two is changing when t = 4 minutes.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter3: Motion Along A Straight Line
Section: Chapter Questions
Problem 83AP: An airplane leaves Chicago and makes the 3000-km trip Los Angeles in 5.0 h. A second plane leaves...
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5. Jay and John used to travel together but because of the pandemic, they decided to go
separately following different paths. Jay follows a path described by loge y = x starting
from (0,1), while John begins from (0,2) and follows the route defined by the equation
dx
y = 4x -3. If the two moves to the right at the same time where
dt
1km/min, find the
- D
rate at which the distance between the two is changing when t = 4 minutes.
Transcribed Image Text:5. Jay and John used to travel together but because of the pandemic, they decided to go separately following different paths. Jay follows a path described by loge y = x starting from (0,1), while John begins from (0,2) and follows the route defined by the equation dx y = 4x -3. If the two moves to the right at the same time where dt 1km/min, find the - D rate at which the distance between the two is changing when t = 4 minutes.
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