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The graph of an object's position over time is a horizontal line and y is not equal to 0. What must be true about the object's motion?(1 point)
o The acceleration is constant and non-zero.
o The velocity is constant and non-zero.
o The velocity is zero.
o The acceleration is negative.

Respuesta :

Answer:

The velocity is zero

The interpretation of a position-time graph is required.

The correct option is The velocity is zero.

In a position time graph the y axis denotes the position and x axis denotes the time.

A horizontal line where [tex]y\neq 0[/tex].

This means that the points of the line will be for some value of x, the y value will always be constant.

The slope of a position-time graph will gives the velocity of the object.

Slope is given by

[tex]m=\dfrac{\Delta y}{\Delta x}[/tex]

Here, since the graph is a horizontal line, [tex]\Delta y=0[/tex]

[tex]\Rightarrow m=\dfrac{0}{\Delta x}=0[/tex]

The velocity of the person will be zero.

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