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Q: How can you tell if a velocity is constant on a position time graph?

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The velocity will be constant when it remains parallel to the time scale.

Distance covered at a given time.

If the curve is horizontal, then the speed is constant. If that horizontal graph lies on the x-axis, then the constant speed is zero, and the object is stationary.

You're looking at one specific velocity/time graph that we can't see. From your description, we can tell that the object whose motion is described by that graph is moving at a constant rate of speed ... which is exactly what you just said while looking at the graph.

It tells you that the velocity of the body is not constant. There is acceleration or deceleration.

No. It will tell you WHEN but not where.

The slope of the position/time graph is the magnitude of velocity, i.e. speed.It doesn't tell you anything about the direction of velocity. If the direction ofvelocity is changing, the slope of the graph doesn't necessarily change.If the magnitude of velocity (speed) changes, then the slope of the graph changes.If speeding up, the slope of the graph increases, and the graph curves upward.If slowing down, the slope of the graph decreases, and the graph curves downward.

The x-t graph can't tell you anything about direction, so you can only make observations regarding speed, not velocity. For constant speed, the x-t graph is a straight line. The slope of the line is numerically equal to the constant speed.

If the position is graphed vs time, then the slope (rate of change of position with respect to time) will be the same (parallel).

velocity is nothing but speed of a body in the given direction. suppose if body is moving with constant velocity then VT graph will be parallel to the X -axis, if not then the VT graph is not parallel to the X-axis it means then object is moving with different velocity or it has its dierection or both velocity and aswell as direction.

If the graph of position vs. time is curved upward to the right, then speed (velocity) is increasing. Refer to the related link for more information.

The straight horizontal line would indicate constant speed.(NOT constant velocity. The velocity could very well be changing, but the graphdoesn't tell you anything about the direction of the motion, only that the speedis constant.)

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