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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.

Respuesta :

Answer:

27 m

Step-by-step explanation:

The position of a body is given by :

[tex]s=t^3 - 12t^2 + 36t[/tex]

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

At t = 0,

[tex]s=0^3 - 12(0)^2 + 36(0)=0\ m[/tex]

At t = 3 s,

[tex]s=(3)^3 - 12(3)^2 + 36(3)\\\\=27\ m[/tex]

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

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