A football player runs for a distance d, = 8.67 m in 1.25 s, at an angle of 0 = 57.3 degrees to the 50-yard line, then turns left and runs a distance d, = 12.52 m in 1.51 s, in a direction perpendicular to the 50-yard line. The diagram shows these two displacements relative to an x-y coordinate system, where the x axis is parallel to the 50-yard line, and the y axis is perpendicular to the 50-yard line. What is the magnitude of the total displacement, in meters? What angle, in degrees, does the displacement make with the y axis? (Note that the angle e was given as measured from the x axis rather than the y axis.) What is the magnitude of the average velocity, in m/s? What angle, in degrees does the average velocity make with the y axis? (Note that the angle 0 was given as measured from the x axis rather than the y axis.)
A football player runs for a distance d, = 8.67 m in 1.25 s, at an angle of 0 = 57.3 degrees to the 50-yard line, then turns left and runs a distance d, = 12.52 m in 1.51 s, in a direction perpendicular to the 50-yard line. The diagram shows these two displacements relative to an x-y coordinate system, where the x axis is parallel to the 50-yard line, and the y axis is perpendicular to the 50-yard line. What is the magnitude of the total displacement, in meters? What angle, in degrees, does the displacement make with the y axis? (Note that the angle e was given as measured from the x axis rather than the y axis.) What is the magnitude of the average velocity, in m/s? What angle, in degrees does the average velocity make with the y axis? (Note that the angle 0 was given as measured from the x axis rather than the y axis.)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:**Problem Description:**
A football player runs for a distance \(d_1 = 8.67\) meters in 1.25 seconds, at an angle of \(\theta = 57.3\) degrees to the 50-yard line. Then, the player turns left and runs a distance \(d_2 = 12.52\) meters in 1.51 seconds, in a direction perpendicular to the 50-yard line. The diagram shows these two displacements relative to an x-y coordinate system, where the x-axis is parallel to the 50-yard line, and the y-axis is perpendicular to the 50-yard line.
**Questions:**
1. What is the magnitude of the total displacement, in meters?
2. What angle, in degrees, does the displacement make with the y-axis? (Note that the angle \(\theta\) was given as measured from the x-axis rather than the y-axis.)
3. What is the magnitude of the average velocity, in m/s?
4. What angle, in degrees, does the average velocity make with the y-axis? (Note that the angle \(\theta\) was given as measured from the x-axis rather than the y-axis.)
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