(Solved) A particle moves according to a law of motion s(t)=t^3-12t^2+36t, t≥ 0, where t is measured in seconds and s is measured in meters. a. Find
Question:
A particle moves according to a law of motion \(s\left( t \right)={{t}^{3}}-12{{t}^{2}}+36t,\,\,t\ge 0\), where
t
is measured in seconds and
s
is measured in meters.
a. Find the acceleration function for the particle.
b. What is the acceleration after 3 seconds?
c. Graph the position, velocity, and acceleration functions for 0
<
t
<
8
d. When is the particle speeding up?
e. When is it slowing down?
Deliverable: Word Document 
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