In lang=en terms the difference between hesitate and burst
is that
hesitate is to stammer; to falter in speaking while
burst is to produce as an effect of bursting.
As verbs the difference between hesitate and burst
is that
hesitate is to stop or pause respecting decision or action; to be in suspense or uncertainty as to a determination while
burst is to break from internal pressure.
As a noun burst is
an instance of, or the act of
bursting .