Question

A car moves from O to D along the path OABCD shown in fig.
What is distance travelled and net displacement.

Answer 1

Distance `" " = |vec(OA)| + |vec(AB)| + |vec(BC)| + |vec(CD)|`
`" " = 8+ 4+4 +1=17 `km
Displacement `" " = vec(OA) + vec(AB) + vec(BC) + vec(CD) `
`" " = 8hati + (-4hatj) + (-4hati) + hatj= 4hati-3hatj`
`rArr |"displacement"| = sqrt((4)^(2)+ (3)^(2))= 5`
So, Displacement = 5km, `37^(@)` S of E