Is it possible for a distance-versus-time graph to be a vertical line? Explain.

No. If time is the horizontal axis and distance is the vertical axis, then

it is not possible for a distance-vs-time graph to be a vertical line.

A vertical line would mean:

- - the object was at all distances at the same time,

- - it moved from any location to any other location in no time, and

- - it moved with infinite speed.

Even light doesn't do that. A distance-vs-time graph for light is

not a vertical line. It's a slanted line with slope of (3 x 10⁸) m/s.

Purty durn steep, but not vertical.

No, because time takes place on the x-axis and time never stops, so time would have to stop in order for it to be a vertical line.