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Vector Addition: “Tip-to-Tail” A A B C A + B + C= Resultant B C D 90 0 180 270 After walking 11 km due East from camp, a hiker then walks 11 km due North. a)What is the total distance traveled by the hiker? b)Determine the total Displacement from the reference point (camp) R2 = x2 + y2 Total Dist = 22 km Ө= Tan-1(o/a) 11 km Ө 11 km Displacement = ? Recall Pythagorean Thm. Two children push on a toy box at the same time. One pushes with a force of 125 N West and the other pushes 165 N South. What is the magnitude and direction of the Net Force (Resultant)? R2 = x2 + y2 125 N Ө Ө= Tan-1(o/a) 165 N Recall Pythagorean Thm. While flying due West at 120 km/hr, an airplane is also affected by a 45 km/hr wind blowing due North. What is the magnitude and direction of the plane’s resultant velocity? R2 = x2 + y2 Ө= Tan-1(o/a) 45 km/hr Ө 120 km/hr