Question

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.

Answer 1

Explanation:

Let the function is :

`s(t)=3t^3-18t^2`

We need to find the velocity and acceleration functions

Velocity,

`v=(ds)/(dt)\\\\v=(d(3t^3-18t^2))/(dt)\\\\v=9t^2-36t`

Acceleration,

`a=(dv)/(dt)\\\\a=(d(9t^2-36t))/(dt)\\\\a=18t-36`

Hence, this is the required solution.