2018 TWO(b)

A particle is travelling in a straight line. The distance, in metres, travelled by the particle may
be modelled by the function

$s(t)=\ln (3t^2+3t+1)$

$t\ge 0$

where $t$ is time measured in seconds.

Find the velocity of this particle after 2 seconds.

*You must use calculus and show any derivatives that you need to find when solving this
problem.*