How do you graph distance and time for an object that moves at a constant speed?
2 answers:
Answer:
It would be a straight line
Explanation:
On a distance-time graph, an object that moves at constant speed would be represented by a straight line.
In fact, in a distance-time graph, the slope of the line corresponds to the speed of the object. We can demonstrate that. In fact:
- The speed of the object is equal to the ratio between the distance covered and the time taken (
):
On a distance-time graph, the distance is on the y-axis while the time is on the x-axis. The slope of the line is defined as:
But the variation on the y-axis () is equal to the distance covered (
), while the variation on the x-axis
corresponds to the time taken (
), so the slope can also be rewritten as
which is equal to the speed of the object. Therefore, an object moving at constant speed would be represented by a line with constant slope, which means a straight line.
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