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.)

Show your work! 1. A car travels 40 miles east, then turns southeast and travels for 35 miles at an angle of -65°. 31- a. Find the components of the second vector (the one at -65°). to obutingsm adi bat d b. What is the magnitude of the displacement from the original position? L 8x Atsuborq azoto tolgay and bri c. What direction is the car traveling in? (In other words, find the angle.)

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