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Tutorial Exercise A person going for a walk follows the path shown in the figure, where y₁ = 319 m and = 65.0°. The total trip consists of four straight-line paths. At the end of the walk, what is the person's resultant displacement measured from the starting point? End 200 m Step 3 End, Q Start 100 m 200 m Step 1 The dark arrow on the figure represents the resultant displacement from the starting point to the end of the path. This vector is at an angle p from the negative x axis as drawn in the figure. From the figure, it looks as if the person walked at least three times as far as the magnitude of the resulting displacement. 30.0 Start 100 m 9 R 30 3/₁ 150 m Y₁ 150 m x îm jm Step 2 We are given that the total trip consists of four straight-line paths whose lengths are as follows: d₁ = 100 m, d₂ = 319 m, d3= 150 m, and d4 = 200 m. The resultant displacement R is equal to the sum of the four individual displacements, so we have the resultant displacement R=d₁ + d₂ + d3 + ď4. X We translate from the pictorial representation to a mathematical representation by writing the individual displacements in unit-vector notation, paying close attention to the angles in the figure and signs on the components. First, write the two displacement vectors in unit-vector notation that are along the positive x and negative y directions, respectively.

Tutorial Exercise A person going for a walk follows the path shown in the figure, where y₁ = 319 m and = 65.0°. The total trip consists of four straight-line paths. At the end of the walk, what is the person's resultant displacement measured from the starting point? End 200 m Step 3 End, Q Start 100 m 200 m Step 1 The dark arrow on the figure represents the resultant displacement from the starting point to the end of the path. This vector is at an angle p from the negative x axis as drawn in the figure. From the figure, it looks as if the person walked at least three times as far as the magnitude of the resulting displacement. 30.0 Start 100 m 9 R 30 3/₁ 150 m Y₁ 150 m x îm jm Step 2 We are given that the total trip consists of four straight-line paths whose lengths are as follows: d₁ = 100 m, d₂ = 319 m, d3= 150 m, and d4 = 200 m. The resultant displacement R is equal to the sum of the four individual displacements, so we have the resultant displacement R=d₁ + d₂ + d3 + ď4. X We translate from the pictorial representation to a mathematical representation by writing the individual displacements in unit-vector notation, paying close attention to the angles in the figure and signs on the components. First, write the two displacement vectors in unit-vector notation that are along the positive x and negative y directions, respectively.

College Physics
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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Tutorial Exercise A person going for a walk follows the path shown in the figure, where y₁ = 319 m and 8 = 65.0°. The total trip consists of four straight-line paths. At the end of the walk, what is the person's resultant displacement measured from the starting point? End 200 m End, - d₂ Ꮎ Start 100 m Step 1 The dark arrow on the figure represents the resultant displacement from the starting point to the end of the path. This vector is at an angle from the negative x axis as drawn in the figure. From the figure, it looks as if the person walked at least three times as far as the magnitude of the resulting displacement. y₁ Start 100 m 200 m Ꮎ . = R 30.0° 30° 150 m 3₁₁ 150 m Y₁ Step 2 We are given that the total trip consists of four straight-line paths whose lengths are as follows: d₁ = 100 m, d₂ = 319 m, d3= 150 m, and d4 = 200 m. The resultant displacement R is equal to the sum of the four individual displacements, so we have the resultant displacement R = ₁ + d₂ + ď₂ + ď4. d3 -> Step 3 We translate from the pictorial representation to a mathematical representation by writing the individual displacements in unit-vector notation, paying close attention to the angles in the figure and signs on the components. x First, write the two displacement vectors in unit-vector notation that are along the positive x and negative y directions, respectively. îm jm
Transcribed Image Text:Tutorial Exercise A person going for a walk follows the path shown in the figure, where y₁ = 319 m and 8 = 65.0°. The total trip consists of four straight-line paths. At the end of the walk, what is the person's resultant displacement measured from the starting point? End 200 m End, - d₂ Ꮎ Start 100 m Step 1 The dark arrow on the figure represents the resultant displacement from the starting point to the end of the path. This vector is at an angle from the negative x axis as drawn in the figure. From the figure, it looks as if the person walked at least three times as far as the magnitude of the resulting displacement. y₁ Start 100 m 200 m Ꮎ . = R 30.0° 30° 150 m 3₁₁ 150 m Y₁ Step 2 We are given that the total trip consists of four straight-line paths whose lengths are as follows: d₁ = 100 m, d₂ = 319 m, d3= 150 m, and d4 = 200 m. The resultant displacement R is equal to the sum of the four individual displacements, so we have the resultant displacement R = ₁ + d₂ + ď₂ + ď4. d3 -> Step 3 We translate from the pictorial representation to a mathematical representation by writing the individual displacements in unit-vector notation, paying close attention to the angles in the figure and signs on the components. x First, write the two displacement vectors in unit-vector notation that are along the positive x and negative y directions, respectively. îm jm
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