Concept explainers
(a)
To find: The interval of time when M traveling fastest.
(a)
Answer to Problem 46AYU
Explanation of Solution
Given: The following sketch represents the speed v (in miles per hour) of M’s car as a function of the time t (in minutes).
x-axis shows time and y-axis shows speed.
This is speed time graph.
The maximum speed is 50 mph between 7 to 7.4.
(b)
To find: The interval when speed is zero.
(b)
Answer to Problem 46AYU
Explanation of Solution
Given: The following sketch represents the speed v (in miles per hour) of Michael’s car as a function of the time t (in minutes).
Speed is 0 when vertical axis coincide on x-axis.
According to graph, speed becomes 0 between 4.2 to 6.
(c)
To find: The M’s speed between 0 to 2 minutes. .
(c)
Answer to Problem 46AYU
His speed in 0 to 2 minutes increase from 0 to 30 mph.
Explanation of Solution
Given: The following sketch represents the speed v (in miles per hour) of M’s car as a function of the time t (in minutes).
Initial speed = 0 and Final speed = 30
So, his speed in 0 to 2 minutes increase from 0 to 30 m/h.
(d)
To find: The Michael’s speed between 4.2 to 6 minutes.
(d)
Answer to Problem 46AYU
Explanation of Solution
Given: The following sketch represents the speed v (in miles per hour) of M’s car as a function of the time t (in minutes).
Initial speed = 0 and Final speed = 0
Speed between 4.2 to 6 is 0 mph
(e)
To find: The Michael’s speed between 7 to 7.4 minutes. .
(e)
Answer to Problem 46AYU
Explanation of Solution
Given: The following sketch represents the speed v (in miles per hour) of M’s car as a function of the time t (in minutes).
Initial speed = 50 and Final speed = 50
The average speed between 7 to 7.4 is 50 mph.
(f)
To find: The M’s speed constant.
(f)
Answer to Problem 46AYU
For interval between 2 to 4 minutes.
For interval between 4.2 to 6minutes.
For interval between 7 to 7.4 minutes.
Explanation of Solution
Given: The following sketch represents the speed v (in miles per hour) of M’s car as a function of the time t (in minutes).
Speed constant when no change in velocity.
For interval between 2 to 4 minutes. Speed constant = 30 mph
For interval between 4.2 to 6minutes. Speed constant = 0 mph
For interval between 7 to 7.4 minutes. Speed constant = 50 mph
Chapter 2 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
Calculus & Its Applications (14th Edition)
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