Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
At noon, ship $ A $ is $ 100 km $ west of ship $ B. $ Ship $ A $ is sailing south at $ 35 km/h $ and ship $ B $ is sailing north at $ 25 km/h. $ How fast is the distance between the ships changing at $ 4:00 PM? $
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Amrita Bhasin
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
02:53
Wen Zheng
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 9
Related Rates
Derivatives
Differentiation
Missouri State University
Campbell University
University of Nottingham
Lectures
04:40
In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.
44:57
In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.
03:30
At noon, ship A is 100 km …
05:53
At noon, ship A is 150 km …
At noon, ship $A$ is 150 $…
01:31
At midnight ship $A$ is $5…
05:40
(Distance between ships) A…
06:05
At noon, ship $ A $ is $ 1…
09:28
Ships A and B leave port t…
04:55
okay. Using the distance formula to figure out the distance between the two ships at time t we know we have 100 minus zero square. Plus, this is where variables come in 25 t post 35 t squared, which gives us DDT is the square root 10,000 plus 3600 t squared, which now tells us that deep prime of tea is gonna be one over two square root of 10 1000 plus 3600 t squared which simplifies to 1 80 t divided by the square root of 25 plus 90 squared, which tells us that deep REM of force notices just plugging in four is gonna be 1 80 times four divided by squirt of 25 plus nine times for squared, which is gonna be 55.38 kilometers per hour.
View More Answers From This Book
Find Another Textbook