Quick question with Velocity and Acceleration

[lin.moore5]

Two runners, A and B, run on a racetrack for 0 ? t ? 10 seconds. The velocity in meters per second, of Runner b, is v(t) = 24t/(2t + 3)

NOTE: The function for Runner A is equal to (10/3)t --- (found via a given graph)

a) find the velocity of runner A and B at 2 seconds ( Did This by plugging in 2 for 't' in the equations)
b) find the acceleration of runner A and B at 2 seconds (Did this by finding the derivative of V(t) and then plugging in 2 for 't')
C) This is where I need help: Find the total distance run by Runner A and B over the time interval 0 ? t ? 10. Indicate unites of measure

Honestly, I have no clue where to start. Any help would be great.

 

[BigGlenntheHeavy]

\(\displaystyle B: \ S(t) \ = \ \int_{0}^{10}\frac{24t}{2t+3} \ \dot= \ 83.336 \ meters\)

\(\displaystyle A: \ S(t) \ = \ \int_{0}^{10}\frac{10t}{3}dt \ = \ 166.\overline 6 \ meters\)

\(\displaystyle See \ graph:\)

[attachment=0:za7985nx]jkl.jpg[/attachment:za7985nx]

 

[lin.moore5]

Oh Man! I should have known there would be integrals. That makes sense now to use them! Thanks a ton!