Suppose you are driving a car at 80 miles per hour. Again decelerating at 16 feet per second squared it will take you seconds to stop. During that time you will travel feet. Assuming that it takes you 1 second to react to an emergency before you start braking, at the same initial speed, and the same constant deceleration, you will travel a total of feet, before coming to a stop.
Suppose you are driving a car at 80 miles per hour. Again decelerating at 16 feet per second squared it will take you seconds to stop. During that time you will travel feet. Assuming that it takes you 1 second to react to an emergency before you start braking, at the same initial speed, and the same constant deceleration, you will travel a total of feet, before coming to a stop.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Calculating Stopping Distance and Time for a Car Traveling at 80 Miles per Hour
Imagine you're driving a car at 80 miles per hour.
To determine how long it will take you to stop if you decelerate at a rate of 16 feet per second squared, use the following calculations:
1. **Stopping Time Calculation:**
- With a deceleration rate of 16 feet per second squared, it will take you
[input box] seconds to come to a complete stop.
2. **Stopping Distance Calculation:**
- During the deceleration time, you will travel a distance of
[input box] feet.
3. **Total Stopping Distance Including Reaction Time:**
- Assuming it takes you 1 second to react to an emergency before you begin braking, and maintaining the same initial speed and constant deceleration, you will travel a total of
[input box] feet before coming to a stop.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F686df84f-2572-4ea8-99e4-a6aa8d03e207%2F1c61d131-baf2-4c8c-84be-ca9a02a32c45%2Fw99ua17_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Calculating Stopping Distance and Time for a Car Traveling at 80 Miles per Hour
Imagine you're driving a car at 80 miles per hour.
To determine how long it will take you to stop if you decelerate at a rate of 16 feet per second squared, use the following calculations:
1. **Stopping Time Calculation:**
- With a deceleration rate of 16 feet per second squared, it will take you
[input box] seconds to come to a complete stop.
2. **Stopping Distance Calculation:**
- During the deceleration time, you will travel a distance of
[input box] feet.
3. **Total Stopping Distance Including Reaction Time:**
- Assuming it takes you 1 second to react to an emergency before you begin braking, and maintaining the same initial speed and constant deceleration, you will travel a total of
[input box] feet before coming to a stop.
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