The distance
"d=d_1+d_2+d_3=100+70+140=310\\:\\rm m"The displacement
"{\\bf s}={\\bf d}_1+{\\bf d}_2+{\\bf d}_3"where
"{\\bf d}_1=100{\\bf i}+0{\\bf j},\\; {\\bf d}_2=0{\\bf i}+70{\\bf j}, \\; {\\bf d}_3=140{\\bf i}+0{\\bf j}"Hence
"{\\bf s}=100{\\bf i}+0{\\bf j}+0{\\bf i}+70{\\bf j}+140{\\bf i}+0{\\bf j}=240{\\bf i}+70{\\bf j}"The magnitude of a displacement
"s=\\sqrt{(240)^2+(70)^2}=250\\:\\rm m"
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