Problem 2: A toy railroad car moves back and forth along a horizontal track for 5 seconds. There is a model train station positioned along the track. At the end of the 5 seconds, the car finishes up 5 cm to the right of the train station. The velocity function (in centimeters per second) of the railroad car is given by: 312-12t +9 for 0 <1< 3; 6t 18 v(t) = 31 - 12t + 9 for 3 <1< 5. - a. At what time(s) does the car come to a rest? b. During what interval(s) of time is the car moving to the right? c. During what interval(s) of time is the car speeding up? d. What is the position of the car after 3 seconds, relative to where it started? e. What is the nët displacement of the car between 1 second and 4 seconds? f. What is the total distance traveled by the car during the 5 seconds? g. Where was the car initially relative to the train station? h. When does the car reach its furthest position to the right, and at that instant of time, how far to the right of the train station is the car? i. How many times does the car pass the train station? j. Is the velocity function continuous at t = ?
Problem 2: A toy railroad car moves back and forth along a horizontal track for 5 seconds. There is a model train station positioned along the track. At the end of the 5 seconds, the car finishes up 5 cm to the right of the train station. The velocity function (in centimeters per second) of the railroad car is given by: 312-12t +9 for 0 <1< 3; 6t 18 v(t) = 31 - 12t + 9 for 3 <1< 5. - a. At what time(s) does the car come to a rest? b. During what interval(s) of time is the car moving to the right? c. During what interval(s) of time is the car speeding up? d. What is the position of the car after 3 seconds, relative to where it started? e. What is the nët displacement of the car between 1 second and 4 seconds? f. What is the total distance traveled by the car during the 5 seconds? g. Where was the car initially relative to the train station? h. When does the car reach its furthest position to the right, and at that instant of time, how far to the right of the train station is the car? i. How many times does the car pass the train station? j. Is the velocity function continuous at t = ?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 73E
Related questions
Concept explainers
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning