A person goes to market, makes purchases and comes back at a constant slower speed. Draw displacement time and velocity time graph of the person?

draw horizontal lines for the velocities

The velocity is the slope of the displacement line.

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To draw the displacement-time and velocity-time graphs for this scenario, we need to understand the concept of velocity and displacement.

Velocity is a vector quantity that represents the rate at which an object changes its position. It is calculated by dividing the change in displacement by the change in time. Velocity can be positive, negative, or zero, depending on whether the object is moving forward, backward, or not moving at all.

Displacement, on the other hand, is a vector quantity that represents the change in an object's position from its initial position to its final position. It is calculated by subtracting the initial position from the final position.

In the given scenario, the person goes to the market, makes purchases, and returns at a constant slower speed. So, let's assume that the person starts from a point A, reaches the market at point B, makes purchases, and comes back to point A.

Now, let's divide the time axis into three phases: the person's journey to the market (Phase 1), the time spent at the market (Phase 2), and the person's return journey (Phase 3).

In Phase 1, the person is moving away from point A, so the displacement is positive. As the person returns from the market in Phase 3, the displacement becomes negative. During Phase 2, the person is stationary at the market, so the displacement remains zero.

Based on this information, we can now draw the displacement-time and velocity-time graphs.

Displacement-Time Graph:
- Phase 1: The person's displacement increases linearly in a positive direction (upward slope) until reaching the market (B).
- Phase 2: The person's displacement remains constant at zero since they are stationary at the market.
- Phase 3: The person's displacement decreases linearly in a negative direction (downward slope) until reaching point A.

Velocity-Time Graph:
- Phase 1: The person's velocity remains constant and positive until reaching the market (B).
- Phase 2: The person's velocity becomes zero since they are stationary at the market.
- Phase 3: The person's velocity remains constant and negative until reaching point A.

Please note that the graph's actual shape, slope, and values depend on specific values such as distance, time, or speed provided in the problem. This explanation provides a general understanding of how to plot the graphs based on the given scenario.