An object moves long the path ABC as shown in the figure. Determine the displacemen.

Explanation

Displacement `=vec(AC)=sqrt(AD^(2)+DC^(2))`
From the rigth angled `DeltaBDC`
`BC^(2)=BD^(2)+DC`
`9BD^(2)+4`
`BD^(2)9-4`
`BD=sqrt(5)m`
`AD=AB+BD=sqrt(5)=2sqrt(5)m`
`:. vec(AC)=sqrt((2//sqrt(5))^(2)+2^(2))=sqrt(4xx5+4)=24m`