You are driving your car at 12 m/s when a deer jumps in front of your car (25 m). What is the shortest stopping distance for your car if your reaction time is 0.80 s and your car brakes (that is, slows down) at 6.0 m/s/s?

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### Actual Whiteboard Problem 

#### Use data suggested by **Workbook 2.6, exercise 21 c**

You are driving your car at 12 m/s when a deer jumps in front of your car (25 m). What is the shortest stopping distance for your car if your reaction time is 0.80 s and your car brakes (that is, slows down) at 6.0 m/s²?

#### Must Haves:
- **Pictorial Representation** with labels for the known and unknown positions, velocities, times, and accelerations for instants and stages of interest.
- **Motion Diagram** with velocity, acceleration, and displacement vectors.
- **Velocity vs. Time Annotated Graph**
- **Position vs. Time Annotated Graph**

In this problem, students are required to determine the shortest stopping distance of a car that is traveling at 12 m/s when a deer jumps in front of it. The reaction time of the driver is 0.80 seconds, and the car decelerates at a rate of 6.0 m/s². 

To solve this, students should create a pictorial representation that includes all known and unknown factors such as positions, velocities, times, and accelerations. They must also generate a motion diagram that visually displays the velocity, acceleration, and displacement vectors.

Additionally, students need to construct two annotated graphs:
1. A **Velocity vs. Time Annotated Graph** to show how the velocity of the car changes over time from the moment the deer appears.
2. A **Position vs. Time Annotated Graph** to illustrate how the position of the car changes over time until it comes to a complete stop. 

This comprehensive approach ensures a robust understanding of the physical concepts and visualization techniques key to solving motion-related problems.
Transcribed Image Text:### Actual Whiteboard Problem #### Use data suggested by **Workbook 2.6, exercise 21 c** You are driving your car at 12 m/s when a deer jumps in front of your car (25 m). What is the shortest stopping distance for your car if your reaction time is 0.80 s and your car brakes (that is, slows down) at 6.0 m/s²? #### Must Haves: - **Pictorial Representation** with labels for the known and unknown positions, velocities, times, and accelerations for instants and stages of interest. - **Motion Diagram** with velocity, acceleration, and displacement vectors. - **Velocity vs. Time Annotated Graph** - **Position vs. Time Annotated Graph** In this problem, students are required to determine the shortest stopping distance of a car that is traveling at 12 m/s when a deer jumps in front of it. The reaction time of the driver is 0.80 seconds, and the car decelerates at a rate of 6.0 m/s². To solve this, students should create a pictorial representation that includes all known and unknown factors such as positions, velocities, times, and accelerations. They must also generate a motion diagram that visually displays the velocity, acceleration, and displacement vectors. Additionally, students need to construct two annotated graphs: 1. A **Velocity vs. Time Annotated Graph** to show how the velocity of the car changes over time from the moment the deer appears. 2. A **Position vs. Time Annotated Graph** to illustrate how the position of the car changes over time until it comes to a complete stop. This comprehensive approach ensures a robust understanding of the physical concepts and visualization techniques key to solving motion-related problems.
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