  We investigate the mean first passage time of an active Brownian particle in
one dimension using numerical simulations. The activity in one dimension is
modeled as a two state model; the particle moves with a constant propulsion
strength but its orientation switches from one state to other as in a random
telegraphic process. We study the influence of a finite resetting rate $r$ on
the mean first passage time to a fixed target of a single free Active Brownian
Particle and map this result using an effective diffusion process. As in the
case of a passive Brownian particle, we can find an optimal resetting rate
$r^*$ for an active Brownian particle for which the target is found with the
minimum average time. In the case of the presence of an external potential, we
find good agreement between the theory and numerical simulations using an
effective potential approach.
