Originally Posted by

**tammyl** I have the following question in an assignment,

**A particle moves along a straight line so that at time ***t* seconds its velocity, is given by

$\displaystyle v=\frac{t+1}{t^2+1}$

Find the distance travelled in the first second.

Solving the equation, I got a general solution to the differential equation as:

$\displaystyle s(t)=\frac{1}{2} ln(t^2+1) + tan^{-1} t + C$

Is it correct to assume that the initial condition would be s=0 at t=0?

I went on to solve the problem as **s = 1.132m**.

Can anyone check this for me and show me where I went wrong if there is a problem?