Please try and answer the following question.

Create a function that could be realistically used to model the position of an object over time and meets the following conditions: i) Function is polynomial and is degree 3 ii) Function has at least 2 critical points in the domain tE(0,oo) With the function you've created, answer the following: Determine the interval(s) when the object is speeding up and when it is slowing down. Determine the total distance traveled by the object in the first 12 seconds of its motion. Determine a time when position, velocity, and acceleration are all positive OR all negative. Describe the motion of the object, including its location, at this time