[tex] \texttt{Distance is equal to total length of } [/tex] [tex] \texttt{path covered, but the displacement} [/tex][tex] \texttt{is the shortest distance between} [/tex] [tex] \texttt{the startikg and the destination point.} [/tex]
____________________________________
[tex] \texttt{Case \#1 : Lucinda walked 400 m } [/tex][tex] \texttt{west (in a straight line).} [/tex]
[tex] \texttt{[ shortest distance between starting} [/tex] [tex] \texttt{point (house) and destination point} [/tex][tex] \texttt{(park)]} [/tex]
____________________________________
[tex] \texttt{Case \#3 : Lucinda walked 400 m } [/tex][tex] \texttt{towards west and then turned back} [/tex] [tex] \texttt{to return 400 m east.} [/tex]
Answers & Comments
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex] \texttt{Distance is equal to total length of } [/tex] [tex] \texttt{path covered, but the displacement} [/tex][tex] \texttt{is the shortest distance between} [/tex] [tex] \texttt{the startikg and the destination point.} [/tex]
____________________________________
[tex] \texttt{Case \#1 : Lucinda walked 400 m } [/tex][tex] \texttt{west (in a straight line).} [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: distance = 400 \: \: m[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: displacement = 400 \: \: m[/tex]
____________________________________
[tex] \texttt{Case \#2 : Lucinda walked 300 m} [/tex] [tex] \texttt{east to street corner and 600 m east } [/tex][tex] \texttt{to the park.} [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: distance = 300 + 600 = 900 \: \: m[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: displacement =900 \: \: m[/tex]
[tex] \texttt{[ shortest distance between starting} [/tex] [tex] \texttt{point (house) and destination point} [/tex][tex] \texttt{(park)]} [/tex]
____________________________________
[tex] \texttt{Case \#3 : Lucinda walked 400 m } [/tex][tex] \texttt{towards west and then turned back} [/tex] [tex] \texttt{to return 400 m east.} [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: distance = 400 + 400 = 800 \: \: m[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: displacement =0 \: \: m[/tex]
[tex] \texttt{[ starting and destination points are} [/tex][tex] \texttt{same, so displacement = 0 ]} [/tex]