Question

select the option that best summarizes the reason for the use of position-time graphs when studying physical science. (1 point)

position-time graphs show the relationship between the position of an object (shown on the y-axis) and the time (shown on the x-axis) to show velocity.

position-time graphs show the relationship between the position of an object (shown on the y-axis) and the time (shown on the x-axis) to show acceleration.

position-time graphs show the relationship between the position of an object (shown on the y-axis) and the time (shown on the x-axis) to show displacement.

position-time graphs show the relationship between the position of an object (shown on the x-axis) and the time (shown on the y-axis) to show displacement.

Explanation:

To determine the correct option, we analyze each choice:

1. For position - time graphs, the y - axis represents position and the x - axis represents time. The slope of a position - time graph gives velocity (since velocity $v=\frac{\Delta x}{\Delta t}$, where $\Delta x$ is the change in position and $\Delta t$ is the change in time).
2. Option 2 is incorrect because acceleration is related to the slope of a velocity - time graph, not a position - time graph.
3. Option 3 is incorrect as displacement is the change in position, and a position - time graph's primary use related to motion analysis is showing velocity (via slope), not directly displacement in the way described.
4. Option 4 is incorrect because in a position - time graph, position is on the y - axis and time is on the x - axis, not the other way around.

Answer:

The option "Position - time graphs show the relationship between the position of an object (shown on the y - axis) and the time (shown on the x - axis) to show velocity." (the first option in the list)