SOLUTION: Given the position equation s(t)=t^3-3t^2+4 and the table t 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 S(t) V(t) a(t)

Question 983367: Given the position equation s(t)=t^3-3t^2+4 and the table
t 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
S(t)
V(t)
a(t)

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Given the position equation s(t)=t^3-3t^2+4 and the table
t 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
S(t)
V(t)
a(t)
-----------
v(t) = s'(t) = 3t^2 - 6t
a(t) = s"(t) = 6t - 6
---------------

t	f(t)	f'(t)	f''(t)
0	4	0	-6
0.5	3.375	-2.25	-3
1	2	-3	0
1.5	0.625	-2.25	3
2	0	0	6
2.5	0.875	3.75	9
3	4	9	12
3.5	10.125	15.75	15
4	20	24	18

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