A person goes from his home to his office taking one hour. There he works for 2 hours and then in half hour reaches home back. A representative displacement-time graph is

Take the reference point home as the origin.
1 hour: With respect to home the person moves to office: Motion is along +x axis.

2 hours: He stays at rest there

1/2 an hour: He moves back towards home: his x-coordinate with respect to the origin decreases.

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