Question
Two cars start from a point $A$ at the same time. One travels west at $60 \mathrm{km} / \mathrm{hr}$ and the other travels north at $35 \mathrm{km} / \mathrm{hr}$. How fast is the distance between them 3 hours later?
Step 1
If we let $x$ be the distance the car traveling west has covered and $y$ be the distance the car traveling north has covered, then the distance between the two cars, $d$, is given by $d = \sqrt{x^2 + y^2}$. Show more…
Show all steps
Your feedback will help us improve your experience
Sriparna Bhattacharjee and 55 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Two cars start moving from the same point. One travels south it $30 \mathrm{~km} / \mathrm{h}$ and the other travels west at $72 \mathrm{~km} / \mathrm{h}$. At what rate s the distance between the cars increasing two hours later?
Differentiation Rules
Related Rates
Two cars start moving from the same from the same point. One travels south at $ 60 mi/h $ and the other travels west at $ 25 mi/h. $ At what rate is the distance between the cars increasing two hours later?
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD