Question

How do you graph distance and time for an object that moves at a constant speed?

Answer 1

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 $(\Delta s)$ and the time taken ($\Delta t$):

$v=\frac{\Delta s}{\Delta t}$

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:

$m=\frac{\Delta y}{\Delta x}$

But the variation on the y-axis ($\Delta y$) is equal to the distance covered ($\Delta s$), while the variation on the x-axis $(\Delta x)$ corresponds to the time taken ($\Delta t$), so the slope can also be rewritten as

$m=\frac{\Delta s}{\Delta t}$

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.

Answer 2

Answer:

it is a diagonally straight line

Explanation: