1) The position function below describes the position (in m) of an object as a function of time (in s) moving along a st

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1) The position function below describes the position (in m)
of an object as a function of time (in s) moving along a straight
line
s(t)=t^3 - 12t^2 +36t , t≥
o
Determine the velocity and acceleration at 1 s. Describe the
motion at this time.
Determine the time(s) when the object is moving in the
positive/negative directions.
Determine the time(s) when the object is changing directions or
stopping.
Determine the time(s) when the object is speeding up and/or
slowing down.