Find the distance that the particle has traveled

Question

The velocity of a particle moving along a line is a function of time given by  v(t)=80/(t^2+13t+42 . Find the distance that the particle has traveled after t=8 seconds if it started at t=0 seconds.

Answer 1

To find distance, you're going to need to integrate the velocity function with the limits of integration going from 0 to 8. However, the equation as you wrote it is missing the 2nd parenthesis, so I'm not exactly sure what your velocity function is. Please check your equation again.