Question

Why does this graph have a positive slope through the first 4.5 seconds or so and then approximately zero slope till roughly 11.5 seconds?

Answer 1

The slope of the graphical curve in terms of change in variable along y-axis and the change in the variable along the x-axis is,

`\text{slope=}\frac{Change\text{ in force of tension}}{\text{Time}}`

The change in force of tension in terms of final and its initial value is,

`\text{Change in force= Final value of force - Initial value of force}`

As the value of force is increasing for the first 4.5 seconds.

Thus, the final value of force of is more than the initial value of force.

The change in force for the first 4.5 seconds is,

`\text{change in force > 0}`

Thus, the slope of the curve for the first 4.5 seconds is,

`\text{Slope > 0}`

Hence, the slope is positive for first 4.5 seconds.

For the further time till 11.5 seconds,

There is no change in the value of force which means the final value of force is equal to the initial value of force.

The change in force is,

`\text{change in force = 0}`

Hence, the slope of the c