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Of course yes. An object is stationary when the graph is horizontal in a displacement-time graph.
A key can make it easier to interpret the data sets that each part of the graph represents, especially if there is no room in the graph area for labels.
Slope of the graph will give you speed.
If the Object is falling at a constant velocity the shape of the graph would be linear. If the object is falling at a changing velocity (Accelerating) the shape of the graph would be exponential- "J' Shape.
Have a basic knowledge of statistics and the properties of a circle