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Concept explainers
To find:
a. Parametric equations that model the motion of the Camry and Impala.
![Check Mark](/static/check-mark.png)
Answer to Problem 57AYU
a. Camry: , ; Impala: ,
Explanation of Solution
Given:
A Toyota Camry (traveling east at 40 mph) and a Chevy Impala (traveling north at 30 mph) are heading toward the same intersection. The Camry is 5 miles from the intersection when the Impala is 4 miles from the intersection.
Calculation:
a. At ,
Camry is at a distance of 5 miles from intersection and is travelling east at a speed of 40mph.
Parametric equation for Camry:
,
At ,
Impala is 4 miles from the intersection and is travelling north at a speed of 30mph.
Parametric equation for Impala:
,
To find:
b. Formula for the distance between the cars as a function of time?
![Check Mark](/static/check-mark.png)
Answer to Problem 57AYU
b.
Explanation of Solution
Given:
A Toyota Camry (traveling east at 40 mph) and a Chevy Impala (traveling north at 30 mph) are heading toward the same intersection. The Camry is 5 miles from the intersection when the Impala is 4 miles from the intersection.
Calculation:
b. As per the given figure we can use Pythagoras theorem to find the distance in terms of
To find:
c. Graph the function in part c.
![Check Mark](/static/check-mark.png)
Answer to Problem 57AYU
c. graph is plotted
Explanation of Solution
Given:
A Toyota Camry (traveling east at 40 mph) and a Chevy Impala (traveling north at 30 mph) are heading toward the same intersection. The Camry is 5 miles from the intersection when the Impala is 4 miles from the intersection.
Calculation:
c. Graph the function in part c.
To find:
d. The minimum distance between the cars? When are they closest?
![Check Mark](/static/check-mark.png)
Answer to Problem 57AYU
d. distance between the cars is miles. At hours, the cars are closer to each other.
Explanation of Solution
Given:
A Toyota Camry (traveling east at 40 mph) and a Chevy Impala (traveling north at 30 mph) are heading toward the same intersection. The Camry is 5 miles from the intersection when the Impala is 4 miles from the intersection.
Calculation:
d. From the graph above the minimum distance between the cars is miles. At hours, the cars are closer to each other.
To find:
e. Simulate the motion of the cars by simultaneously graphing the equations found in part (a).
![Check Mark](/static/check-mark.png)
Answer to Problem 57AYU
e. Graph is plotted.
Explanation of Solution
Given:
A Toyota Camry (traveling east at 40 mph) and a Chevy Impala (traveling north at 30 mph) are heading toward the same intersection. The Camry is 5 miles from the intersection when the Impala is 4 miles from the intersection.
Calculation:
e. Graph of the equation found in a.
Chapter 10 Solutions
Precalculus
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus & Its Applications (14th Edition)
University Calculus: Early Transcendentals (4th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Precalculus
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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