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]
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc09b8323-23e8-423b-9399-551540e09fa1%2F8f913f67-45fb-4599-88a0-1abefadc412d%2Fpp3dwxe_processed.jpeg&w=3840&q=75)
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