  We introduce an exactly solvable example of timelike geodesic motion and
geodesic deviation in the background geometry of a well-known two-dimensional
black hole spacetime. The effective potential for geodesic motion turns out to
be either a harmonic oscillator or an inverted harmonic oscillator or a linear
function of the spatial variable, corresponding to the three different domains
of a constant of the motion. The geodesic deviation equation also is exactly
solvable. The corresponding deviation vector is obtained and the nature of the
deviation is briefly discussed by highlighting a specific case.
