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An Object Moves Along a Line in Such a Way s(t)=t39t2+15t+2s ( t ) = t ^ { 3 } - 9 t ^ { 2 } + 15 t + 2

Question 9

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An object moves along a line in such a way that its position at time t is s(t) =t39t2+15t+2s ( t ) = t ^ { 3 } - 9 t ^ { 2 } + 15 t + 2 .Find the velocity and acceleration of the object at time t.When is the object stationary?


A) v(t) =3t218t+15v ( t ) = 3 t ^ { 2 } - 18 t + 15 ; a(t) = 6t - 18; t = 3
B) v(t) =3t26t+15v ( t ) = 3 t ^ { 2 } - 6 t + 15 ; a(t) = 6t - 6; t = 1
C) v(t) =3t218t+15v ( t ) = 3 t ^ { 2 } - 18 t + 15 ; a(t) = 6t - 18; t = 1
D) v(t) =3t218t+15v ( t ) = 3 t ^ { 2 } - 18 t + 15 ; a(t) = 6t - 18; t = 1 and 5

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