A football player runs for a distance d1 = 7.17 m in 1.08 s, at an angle of θ = 41 degrees to the 50-yard line, then turns left and runs a distance d2 = 10.66 m in 1.62 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 θ was given as measured from the x axis rather than the y axis.) What is the magnitude of the average velocity, in m/s?
A football player runs for a distance d1 = 7.17 m in 1.08 s, at an angle of θ = 41 degrees to the 50-yard line, then turns left and runs a distance d2 = 10.66 m in 1.62 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 θ 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 θ was given as measured from the x axis rather than the y axis.)
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