Two boats spot each other in the ocean at midday -boat A is 15km west of boat B. Boat A is travelling east at 3km/h and boat B is travelling north at 4km/h. How fast is the distance between the boats changing at 3pm?

Two boats spot each other in the ocean at midday -boat A is 15km west of boat B. Boat A is travelling east at 3km/h and boat B is travelling north at 4km/h. How fast is the distance between the boats changing at 3pm?

Name: Two boats spot each other in the ocean at midday - boat A is 15km wes
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Description: Two boats spot each other in the ocean at midday - boat A is 15km west of boat B. BoatA is travelling east at 3km/h and boat B is travelling north at 4km/h. How fast is thedistance between the boats changing at 3pm?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

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Question

Two boats spot each other in the ocean at midday - boat A is 15km west of boat B. Boat
A is travelling east at 3km/h and boat B is travelling north at 4km/h. How fast is the
distance between the boats changing at 3pm?

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Step 1: Sketch the scenario.

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Step 2: Evaluate the positions at 3 pm

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Step 3: Use Pythagorean theorem to evaluate relative rates.

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