Question

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

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Solution

## Draw the distance-time graph graphLet the distance of the house from the office be $x$Here the person goes to his office at a certain speed which is $x$ meter from his home in one hour, so the graph has a constant speed till the person reaches the office and then did not move anywhere for the next two hours, so the graph is a constant but then reaches home in half an hour so the graph has more slope because he returns to home with more speed, and the graph reaches to $x$ coordinate. Hence, the shape of the graph is a trapezium.

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