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In going from one city to another, a car...

In going from one city to another, a car travles 75`km` north, 60`km` noth-west and 20`km` east,The magnitude of displacement between the two cities is `(take1//sqrt(2)=0.7)`

A

170`km`

B

137`km`

C

119`km`

D

140`km`

Text Solution

Verified by Experts

The correct Answer is:
C
`vec(S)=75hat(j)+[60cos 45^(@)hat(j)-60sin 45^(@)hat(i)]+20hat(i)`
`(20-60xx0.7)hat(i)+(60xx0.7+75)hat(j)=-22hat(i)+117hat(j)`
`S=sqrt(22^(2)+117^(2))=sqrt(484+13686)=sqrt(14173)=119km`
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