Concept explainers
To find: To build a model that expresses distance between two cars as a function of time.
Answer to Problem 18AYU
Solution:
Explanation of Solution
Given:
Two cars are travelling perpendicular to each other with velocities 30 miles/hr and 40 miles/hr.
Calculation:
The motion of the cars can be represented as the figure below:
Let, be the velocity of the car travelling south.
Let, be the velocity of the car travelling west.
Let, be the distance at time of the car travelling south.
Let, be the distance at time of the car travelling west.
The distance between the two cars at any time ‘’ can be written as
Therefore the distance between the cars at any time is .
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