Purchase Solution

How fast is the distance between the ships changing

Not what you're looking for?

Ask Custom Question

1. (1 pt) At noon, ship A is 180 km west of ship B. Ship A is sailing south at 20 km/h and ship B is sailing north at 40 km/h. How fast is the distance between the ships changing at 4:00 PM?

_________km/h

Purchase this Solution
Solution Summary

The solution is provided.

Solution Preview

Let B be at the origin. Then A is 180 km west of the origin.

Vertical distance covered by A in t hours = 20 * t= 20t km

Vertical distance covered ...

Purchase this Solution
Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

View More Free Quizzes
Related BrainMass Solutions

  • At noon, ship A is 30 nautical miles due west of ship B...

    54916 Distance Between Ships At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 17 knots and ship B is sailing north at 19 knots. How fast is the distance between the ships changing at 4 PM, in knots?

  • ship movement

    How fast are the ships moving apart when OA = 5 and OB = 3 nautical miles? First, find the distance between ships as a function of time. t hours after departure, ship A is 14t miles from point O, and ship B is 21t miles from point O.

  • Applications of Derivatives Word Problems : Rate of Change in Speed and Distance

    How fast is the distance between the ships changing at 8 PM, in knots? (2) A street light is at the top of a 22 ft tall pole. A woman 12 ft tall walks away from the pole with a speed of 9 ft/sec along a straight path.

  • Related Rates: Rate of Change of Distance Between Objects

    43652 Related Rates: Rate of Change of Distance Between Objects At noon, ship A is 100 km west of ship B. A is sailing south at 35 km/h and B is sailing north at 25 km/h. How fast is the distance between the ships changing at 16:00 h?

  • Applications of Derivatives Word Problems : At noon, ship A is 30 nautical miles due west of ship B...

    How fast is the distance between the ships changing at 4 PM, in knots? (You have to use all data provided.) Please see the attached file for the complete solution. Thanks for using BrainMass. An application of derivatives problem is solved.

  • Related rates

    3243 Related Rates of Ships Northbound ship A leaves the harbour at 10:00 with a speed of 12km/h. Westbound ship B leaves the same harbour at 10:30 with a speed of 16km/h. (a) How fast are the ships separating at 11:30?

  • Differential Equations, Chain Rule, and Rate of Change

    One runs west at 13 km/hr and the other walks north at 2 km/hr. How fast is the distance between the people changing after 10 minutes? Please see the attached Word file for the complete solution.

  • Trigonometry and Derivatives : Minimizing Distance

    So the distance between the two ships is We can work on d2 to find the minimum of d We know that , therefore, That is, . So the closest distance between the two ships is 15 km.

  • Trignometry

    Distance of the ship A from the port at 11 AM = 36 mph * 4 h = 144 miles Distance of the ship B from the port at 11 AM = 42 mph * 4 = 168 miles Angle between the directions of travel of the two ships = 114 - 54 = 60 deg Let the distance between

View More Related Solutions