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The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. (a) Find the velocity and acceleration functions.

Respuesta :

Step-by-step explanation:

Let the function is :

[tex]s(t)=3t^3-18t^2[/tex]

We need to find the velocity and acceleration functions

Velocity,

[tex]v=\dfrac{ds}{dt}\\\\v=\dfrac{d(3t^3-18t^2)}{dt}\\\\v=9t^2-36t[/tex]

Acceleration,

[tex]a=\dfrac{dv}{dt}\\\\a=\dfrac{d(9t^2-36t)}{dt}\\\\a=18t-36[/tex]

Hence, this is the required solution.

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