C. 3. While cruising along a dark stretch of highway with the cruise control set at 25 m/s (~55 mph), you see, at the fringes of your headlights, that a bridge has been washed out. Due to reaction time it takes you 3.0 seconds to begin applying your breaks. After you apply the brakes it takes an additional 4.0 s to come to a stop. Assume the clock starts the instant you notice the washed out bridge. b. d. a. Construct quantatatively accurate graphical representations of the situation described above to illustrate: x vs. t V vs. t C. a vs. t Be sure to label the axes of the graphs. [3] a. b. -+-+ +-- I + I +-+ On the v vs t graph above, graphically represent the car's distance from the origin during the 7 seconds it takes to stop. Utilizing the graphical representation (from v vs. t), determine how far the car traveled during mod braking. (Please explain your problem solving method.) [2] Using your equations of linear motion, solve for the determine how far the car traveled during mo braking. [3]

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
icon
Concept explainers
Topic Video
Question

answer the physics question

**Problem 3:** When cruising along a dark stretch of highway with the cruise control set at 25 m/s (approximately 55 mph), you notice that a bridge has been washed out. It takes you 3.0 seconds to start applying the brakes due to reaction time. Upon braking, it takes an additional 4.0 seconds to come to a complete stop. Assume the clock starts the instant you notice the washed-out bridge.

**Tasks:**

a. **Construct Quantitatively Accurate Graphs:**
   - Create graphical representations of the scenario, including:
     - \(x\) (position) vs. \(t\) (time)
     - \(v\) (velocity) vs. \(t\) (time)
     - Acceleration \(a\) vs. \(t\) (time)
   - Ensure all graph axes are clearly labeled. [3 marks]

   **Graph Details:**
   - Three blank graph templates are provided, each with horizontal and vertical axes divided into uniform square grids. Students should plot the given data and label the axes appropriately based on position, velocity, and acceleration over time.

b. **Graphical Representation on \(v\) vs. \(t\) Graph:**
   - Depict the car’s distance from the origin over the 7-second period to stop.

c. **Determine Car's Distance During Braking:**
   - Using the velocity vs. time graph, compute the car's distance traveled while braking. Explain your methodology in solving the problem. [2 marks]

d. **Equation of Linear Motion:**
   - Solve for the distance traveled during braking using equations of linear motion. [3 marks]

**Note for Educational Use:**
This exercise aims to apply concepts of physics, particularly motion and graph interpretation, to real-world scenarios. It enhances students’ skills in visual data representation and quantitative analysis.
Transcribed Image Text:**Problem 3:** When cruising along a dark stretch of highway with the cruise control set at 25 m/s (approximately 55 mph), you notice that a bridge has been washed out. It takes you 3.0 seconds to start applying the brakes due to reaction time. Upon braking, it takes an additional 4.0 seconds to come to a complete stop. Assume the clock starts the instant you notice the washed-out bridge. **Tasks:** a. **Construct Quantitatively Accurate Graphs:** - Create graphical representations of the scenario, including: - \(x\) (position) vs. \(t\) (time) - \(v\) (velocity) vs. \(t\) (time) - Acceleration \(a\) vs. \(t\) (time) - Ensure all graph axes are clearly labeled. [3 marks] **Graph Details:** - Three blank graph templates are provided, each with horizontal and vertical axes divided into uniform square grids. Students should plot the given data and label the axes appropriately based on position, velocity, and acceleration over time. b. **Graphical Representation on \(v\) vs. \(t\) Graph:** - Depict the car’s distance from the origin over the 7-second period to stop. c. **Determine Car's Distance During Braking:** - Using the velocity vs. time graph, compute the car's distance traveled while braking. Explain your methodology in solving the problem. [2 marks] d. **Equation of Linear Motion:** - Solve for the distance traveled during braking using equations of linear motion. [3 marks] **Note for Educational Use:** This exercise aims to apply concepts of physics, particularly motion and graph interpretation, to real-world scenarios. It enhances students’ skills in visual data representation and quantitative analysis.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Displacement, velocity and acceleration
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON