A particle moves along the x-axis so that it's velocity v at time t, for t is greater than 0

Question

A particle moves along the x-axis so that it's velocity v at time  t, for t is greater than 0 <(or equal to) t, < (or equal to) 5, is given by v(t)= ln(t^2-3t+3). The particle is at position x=8 at time t=0. 
Find all the times t in the open interval 0<t<5 at which the particle changes direction. During which time intervals for 0< (or equal) t<(or equal ) 5 does the particle travel to the left?

anonymous · Answer

the time intervals where the value inside the parenthesis is between 0 and 1