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Let G = (V,E) be a directed graph with nodes v1, v2,..., vn. We say that G is an ordered graph if it has the following properties.

(a) Each edge goes from a node with a lower index to a node with a higher index. That is, every directed edge has the form (vi , vj) with i < j.

(b) Each node except vn has at least one outgoing edge. In other words, for every node vi where i ∈ {1,2,...,n−1}, there is at least one edge of the form (vi , vj).

what is The length of a path is the number of edges in the path.

1 Answer

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Final answer:

The words/terms for the given descriptions are distance, vector, acceleration, origin, displacement, and instantaneous velocity.

Step-by-step explanation:

The correct answer is option b.

For the description 'The shortest path from start to finish,' the word/term is distance.

For the description 'A physical quantity with magnitude and direction,' the word/term is vector.

For the description 'The quantity defined as a change in velocity over a time period,' the word/term is acceleration.

For the description 'The point from where you take measurements,' the word/term is origin.

For the description 'The distance covered in a time interval,' the word/term is displacement.

For the description 'The velocity at a specific instant in time,' the word/term is instantaneous velocity.

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