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instantaneous acceleration

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No it does not.

The graph is a distance-time graph so the coordinates of a point on the graph represent the position (distance) at the specified time. The gradient of the tangent to the curve at that point represents the instantaneous radial velocity. The second derivative at that point, if it exists, would represent the acceleration.

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Q: What is represented by a single point on a curved line in a distance time graph showing accelerated motion?

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It is the distance of the object from a fixed reference point at the time specified by the time axis.

When a curved surface is represented on a flat surface, usually either distances or directions must be distorted. Various "projections" exist to minimize these distortions in whatever way is important to the cartographer.

distorted....

Map projection is a way of showing Earth's curved surface of a map. Necessary distortions are permitted according to the purpose of the map.

A means of showing a curved surfaces o a flat map is called a projection. Each type of projection distorts the appearance of Earth's features in a different way. For example, some projections distort distance, while others distort directions between two points.

They change direction, because they are accelerated by gravity.

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