50 40 30 20 10 -10 10 20 30 10 You are a lifeguard and spot a drowning child 30 meters along the shore and 50 meters from the shore to the child. You run along the shore for a while and then jump into the water and swim from there directly to child. You can run at a rate of 3 meters per second and swim at a rate of 1.2 meters per second. How far along the shore should you run before jumping into the water in order to save the child? Round your answer to the hundredths decimal places.

50 40 30 20 10 -10 10 20 30 10 You are a lifeguard and spot a drowning child 30 meters along the shore and 50 meters from the shore to the child. You run along the shore for a while and then jump into the water and swim from there directly to child. You can run at a rate of 3 meters per second and swim at a rate of 1.2 meters per second. How far along the shore should you run before jumping into the water in order to save the child? Round your answer to the hundredths decimal places.

Name: **Scenario: Lifeguard Rescue Path Planning****Graph Description:**The
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Description: **Scenario: Lifeguard Rescue Path Planning****Graph Description:**The graph is a coordinate plane with the x-axis labeled from -10 to 30 and the y-axis labeled from 0 to 50. A red line representing the path of the lifeguard starts at the point (0, 0

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.

Topic Video

Question

**Scenario: Lifeguard Rescue Path Planning**

**Graph Description:**

The graph is a coordinate plane with the x-axis labeled from -10 to 30 and the y-axis labeled from 0 to 50. A red line representing the path of the lifeguard starts at the point (0, 0), runs horizontally to (10, 0), and then diagonally to (30, 50). This line indicates the combination of the lifeguard's running and swimming path toward the child.

**Problem Statement:**

You are a lifeguard and spot a drowning child 30 meters along the shore and 50 meters from the shore to the child. You run along the shore for a while and then jump into the water and swim from there directly to the child. You can run at a rate of 3 meters per second and swim at a rate of 1.2 meters per second. How far along the shore should you run before jumping into the water in order to save the child? Round your answer to the hundredths decimal places.

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