A particle moves along a horizontal line according to the position function #s(t)=t^3-12t^2+36t#, where t is measured in seconds and s is in metres. How do you find the total distance travelled during the first 8 seconds?

Question

11890 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-07-24T11:22:49

The answer is 32 units of length.

Simply calculate #s(8)#.
Since #s(t)# should be the distance the particle has travelled along the horizontal line, this is the right answer.