Which of the following
distance–time graphs shows an object that does not move? Is it (A), (B), or (C)?
The graphs in the question are
distance–time graphs. The horizontal axes of these graphs
represent time values, and the vertical axes of these graphs represent values of
distance. For an object not to move, it must
not travel any distance in a time interval. The line of all three graphs starts
at the origin of the axes. The origin of each graph represents
a distance traveled of zero at a time of zero. Since we’re being asked which graph
shows an object that does not move, we’re looking for the graph where the distance
value doesn’t increase.
In option (A), we see a line that
has a constant value on the vertical axis of the graph. In option (B) and option (C), we
see lines that have different values on the vertical axes of the graphs for
different values on the horizontal axes of the graphs. This means that only option (A)
shows a graph that represents an object that has a constant position and so does not