SOLUTION: I need help with this problem: A particle moves down the x-axis so that its acceleration is given by a(t) = 6t - 2. If its velocity at t = 2 and its position at t = 0 is 2, devel

Question 1028019: I need help with this problem:
A particle moves down the x-axis so that its acceleration is given by a(t) = 6t - 2. If its velocity at t = 2 and its position at t = 0 is 2, develop the equations which express the particle's position and velocity as a function of t.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Given a(t), we can integrate to find v(t)...

Now when t = 0, v = 2, so we can find the first constant...
so that

Now integrate once again to find position...

Now when t = 0, x = 2, we have

and

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