ACTIVITY-GENERAL PHYSICS Worksheet: Analyzing Displacement Vectors Instructions: • • • • . Ax Ay Determine the x- and y-components of the given vector. Calculate the magnitude of the vector using the Pythagorean theorem. Find the direction of the vector relative to the positive x-axis. Plot the vector on a quadrant plane. Write your answers on yellow paper. = A cose = A sine 2 A = √(Ax² + Ay²) tan 0 = Ay -1 Ay 0 = tan Ax Ax 1. Find the x- and y-components of a displacement vector with a magnitude of 12 m and a direction of 150° from the positive x-axis (second quadrant). 2. A person walks 45 m in a direction of 210° from the positive x-axis (third quadrant). Determine the horizontal and vertical components of the displacement. 3. A hiker moves 80 km at an angle of 315° from the positive x-axis (fourth quadrant). Calculate the eastward and southward components of the displacement. 4. Determine the x- and y-components of a displacement vector with a magnitude of 25 m and a direction of 75° south of west (third quadrant).

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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ACTIVITY-GENERAL PHYSICS
Worksheet: Analyzing Displacement Vectors
Instructions:
•
•
•
•
.
Ax
Ay
Determine the x- and y-components of the given
vector.
Calculate the magnitude of the vector using the
Pythagorean theorem.
Find the direction of the vector relative to the
positive x-axis.
Plot the vector on a quadrant plane.
Write your answers on yellow paper.
= A cose
= A sine
2
A = √(Ax² + Ay²)
tan 0 =
Ay
-1 Ay
0 = tan
Ax
Ax
1. Find the x- and y-components of a displacement
vector with a magnitude of 12 m and a direction of
150° from the positive x-axis (second quadrant).
2. A person walks 45 m in a direction of 210° from the
positive x-axis (third quadrant). Determine the
horizontal and vertical components of the
displacement.
3. A hiker moves 80 km at an angle of 315° from the
positive x-axis (fourth quadrant). Calculate the
eastward and southward components of the
displacement.
4. Determine the x- and y-components of a
displacement vector with a magnitude of 25 m and a
direction of 75° south of west (third quadrant).
Transcribed Image Text:ACTIVITY-GENERAL PHYSICS Worksheet: Analyzing Displacement Vectors Instructions: • • • • . Ax Ay Determine the x- and y-components of the given vector. Calculate the magnitude of the vector using the Pythagorean theorem. Find the direction of the vector relative to the positive x-axis. Plot the vector on a quadrant plane. Write your answers on yellow paper. = A cose = A sine 2 A = √(Ax² + Ay²) tan 0 = Ay -1 Ay 0 = tan Ax Ax 1. Find the x- and y-components of a displacement vector with a magnitude of 12 m and a direction of 150° from the positive x-axis (second quadrant). 2. A person walks 45 m in a direction of 210° from the positive x-axis (third quadrant). Determine the horizontal and vertical components of the displacement. 3. A hiker moves 80 km at an angle of 315° from the positive x-axis (fourth quadrant). Calculate the eastward and southward components of the displacement. 4. Determine the x- and y-components of a displacement vector with a magnitude of 25 m and a direction of 75° south of west (third quadrant).
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