Question

Which statement can be supported by using a position-time graph?

O A negative slope results when an individual is moving away from the origin.
O A horizontal line on the graph means the individual is moving at a non-zero velocity.
O A positive slope results when an individual is moving away from the origin.
O The speed of an individual cannot be determined from this type of graph.
4

Answer 1

A position-time graph can support the statement that a positive slope results when an individual is moving away from the origin. This is because a positive slope on a position-time graph represents a positive velocity, which means that the object is moving in a positive direction (away from the origin). Conversely, a negative slope would indicate that the object is moving in a negative direction (towards the origin).

Option A and B are incorrect. A negative slope on a position-time graph indicates that the object is moving towards the origin, not away from it. A horizontal line on a position-time graph indicates that the object is not moving at all (velocity is zero), not moving at a non-zero velocity.

Option D is also incorrect. The speed of an individual can be determined from a position-time graph by calculating the slope of the graph at any point, which gives the velocity (speed and direction) of the individual at that point..

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