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A girl walks along a straight path to drop a letter in the letterbox and comes back to her initial position. Her displacement–time graph is shown in Figure. Plot a velocity–time graph for the same.

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If we observe the displacement time graph, for the part of graph, where distance is increasing the graph is a straight line. It means that its slope is constant. Therefore, we can say its velocity will be constant for that time interval.

Later, its distance is decreasing with constant slope. It means that it is moving with constant velocity in opposite direction.

Mathematically, opposite direction of velocity will be negative velocity.

Hence, its v-t graph will look as shown below:

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