The distance
"d=d_1+d_2+d_3=120+150+40=310\\:\\rm m"The displacement
"{\\bf s}={\\bf d}_1+{\\bf d}_2+{\\bf d}_3"where
"{\\bf d}_1=120{\\bf i}+0{\\bf j},\\; {\\bf d}_2=0{\\bf i}-150{\\bf j}, \\; {\\bf d}_3=40{\\bf i}+0{\\bf j}"Hence
"{\\bf s}=120{\\bf i}+0{\\bf j}+0{\\bf i}-150{\\bf j}+40{\\bf i}+0{\\bf j}=160{\\bf i}-150{\\bf j}"The magnitude of a displacement
"s=\\sqrt{(160)^2+(-150)^2}=219\\:\\rm m"
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