# Looking for Anti-derivative?

1. Sep 15, 2010

### black_hole

1. The problem statement, all variables and given/known data

a9t) = 1.2t. If v(1) = 5m/s, v(2) = ?
If x(1) = 6m, x(2) = ?

2. Relevant equations

3. The attempt at a solution

I know (anti-deriv) that is something like v(t) = .6t^2, but plug in 1 and that's not 5m/s?

2. Sep 15, 2010

### collinsmark

Re: Anti-derivative?

It took me the longest time to figure out what you meant by "a9t) = 1.2t"

Do you mean, a(t) = (1.2 [m/s3])t
?

When evaluating indefinite integrals (i.e. anti-derivatives), ensure you add an arbitrary constant to the results.

In other words, for this problem,

v(t) = (0.6 [m/s3])t2 + v0

where v0 is an arbitrary constant. Use v(1 ) = 5 [m/s] to solve for v0.

'Same idea applies when solving for x(t).

Last edited: Sep 15, 2010