SOLUTION: Please help me with this problem: A particle moves along the x axis so that its velocity at time t, t > 0, is given by v(t) = {{{(t - 2)/t}}}. If the particle's position at t = 1

Question 1033818: Please help me with this problem:
A particle moves along the x axis so that its velocity at time t, t > 0, is given by v(t) = . If the particle's position at t = 1 is x = 10, write an equation which describes the position of the particle as a function of t.
Also, what velocity does the particle approach as t get large?
Found 2 solutions by Fombitz, robertb:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
To find the position, integrate the velocity.

So then,

So when ,

.
.
When ,

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
==> ==> C = 9.
==>
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