An investigation is carried out for understanding the properties of ion-acoustic (IA) solitary waves in an inhomogeneous magnetized electron-ion plasma with field-aligned sheared flow under the impact of q-nonextensive trapped electrons.The Schamel equation and its stationary solution in the form of solitary waves are obtained for this inhomogeneous plasma.It is shown that the amplitude of IA solitary waves increases with higher trapping efficiency (β),while the width remains almost the same.Further,it is found that the amplitude of the solitary waves decreases with enhanced normalized drift speed,shear flow parameter and the population of the energetic particles.The size of the nonlinear solitary structures is calculated to be a few hundred meters and it is pointed out that the present results are useful to understand the solar wind plasma.