Thread: Integral Application

A particle moves in a straight line with velocity ft/s. Find the total displacement and total distance traveled over the time interval .


I found that the displacement was 0.661458 ft., but I cannot find the total distance. I don't think my displacement is right, please help!

Well, remember that

Thus we have:

(Fundamental Theorem)

Where is the position at the time t

With that you get the distance traveled

For the displacement read here
Distance & Displacement

And remember that your particle is moving in a straight line