8. Applications of Integration

The Arc Length Of A Smooth, Planar Curve And Distance Traveled — Quiz

Test your understanding of the arc length of a smooth, planar curve and distance traveled with 5 practice questions.

Practice Questions

Question 1

What is the formula for the arc length of a smooth curve given by $y=f(x)$ on the interval $[a,b]$?

Question 2

A particle moves on the $x$-axis with velocity $v(t)=3$ for $0\le t\le 4$. How far does it travel?

Question 3

Which statement best describes the difference between arc length and distance traveled?

Question 4

If a particle has velocity $v(t)=-2$ on $1\le t\le 5$, what is its distance traveled on that interval?

Question 5

For the curve $y=x$ on $0\le x\le 2$, what is the arc length?