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?

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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.

A particle moves along a horizontal line according to the position function s(t)=t^3-12t^2+36ts(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?