Question

at time t, the position of a body moving along the s-axis is s=t^3 - 12t^2 + 36t m. Find the total distance traveled by the body from t=0 to t=3.

Answer 1

27 m

Explanation:

The position of a body is given by :

`s=t^3 - 12t^2 + 36t`

We need to find the total distance traveled by the body from t=0 to t=3.

At t = 0,

`s=0^3 - 12(0)^2 + 36(0)=0\ m`

At t = 3 s,

`s=(3)^3 - 12(3)^2 + 36(3)\\\\=27\ m`

So, the total distance from t=0 to t=3 is equal to 27 m.