Final answer:
To find the curve length on the interval, we can use the concept of arc length and calculate the distance traveled along the curve using the slope.
Step-by-step explanation:
The curve length on the given interval can be found by calculating the distance traveled along the curve. To do this, we can use the concept of arc length. The arc length of a curve is the distance from one point to another on the curve.
In this case, we are given the position of the curve at two different times, which allows us to find the endpoints of the tangent line. By plugging these endpoints into the equation, we can solve for the slope. The slope represents the rate of change of the curve, which can help us calculate the length of the curve on the interval.
Using the given information, we can calculate the slope and find the curve length on the interval.