Answer to Question #103083 in Mechanics | Relativity for Nimra

Question #103083
Ali walks 680m south 780m east 80m south find the distance and the displacement?
1
Expert's answer
2020-03-16T13:17:56-0400

"S=S_1+S_2+S_3",

where, "S" - overall traveled distance, "S_1 = 680 \\; m" - the first path segment to the south, "S_2 = 780 \\; m" - path segment to the east, "S_3 = 80 \\; m" - the second path segment to the south.

"S=680+780+80=1540 \\; m = 1.54 \\; km"

"D=\\sqrt{D_s^2 + D_e^2}",

where "D" - overall displacement, "D_s=S_1 +S_3= 680+80=760 \\; m" - overall displacement to the south, "D_e=S_2=780 \\; m" - displacement to the east.

"D=\\sqrt{760^2 + 780^2}=\\sqrt{577600 + 608400}=\\sqrt{118000} \\approx 1089 \\; m \\approx 1.09 \\; km"


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