SOLUTION: The velocity of a body is described by the formula below. If the displacement at a time t=0 is 3m. Find the constant of integration and the displacement after 3 seconds. v=2t^2+

Algebra ->  Average -> SOLUTION: The velocity of a body is described by the formula below. If the displacement at a time t=0 is 3m. Find the constant of integration and the displacement after 3 seconds. v=2t^2+      Log On


   



Question 877201: The velocity of a body is described by the formula below.
If the displacement at a time t=0 is 3m.
Find the constant of integration and the displacement after 3 seconds.
v=2t^2+3t

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The velocity of a body is described by the formula below.
If the displacement at a time t=0 is 3m.
Find the constant of integration and the displacement after 3 seconds.
v=2t^2+3t
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s(t) = INT(v) = 2t^3/3 + 3t^2/2 + C
s(0) = C = 3
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s(t) = 2t^3/3 + 3t^2/2 + 3
s(3) = 18 + 27/2 + 3
s(3) = 69/2 m