A Graph Shows Distance On The Vertical Axis And Time On The Horizontal Axis. If The Speed Is Steadily Increasing, What Will The Line Representing Speed Look Like On The Graph?
If the speed is steadily increasing, the line representing speed on the graph will appear as a straight line with a positive slope. This means that as time increases, the distance covered in a given time interval also increases at a constant rate. The slope of the line represents the rate of change of distance with respect to time, also known as the speed.
If the graph shows distance on the vertical axis and time on the horizontal axis, and the speed is steadily increasing, the line representing speed on the graph will be a line with a positive slope. This means that as time progresses, the distance covered will increase at a faster and faster rate.
To understand why the line representing speed will have a positive slope, we need to remember that speed is the rate at which distance is covered over time. If the speed is steadily increasing, it means that for each unit of time that passes, the distance covered is greater than in the previous unit of time.
For example, if you start at a point on the graph and move along the horizontal axis (representing time), you will see that the corresponding vertical values (representing distance) will increase at an increasing rate. This creates a line that slopes upward, indicating the increasing speed.
In summary, when the speed is steadily increasing, the line representing speed on the graph will have a positive slope, showing that the distance covered increases with time at an increasing rate.