Role Based Access control (RBAC) is a popular security technique to impose restriction on different resources. To capture various emerging security requirements, RBAC has been evolved from time to time. Due to advancement in wireless devices new security requirements have come up and it is quite challenging for the existing access control models to tackle such requirements. In this paper, a location sensitive access control (LSAC) model is proposed to incorporate security policies related to mobile users. It has been observed that different characteristics of moving objects such as velocity, acceleration, etc., are often ignored while granting access to a particular resource. In this work, an attempt is made to consider those parameters while allowing or disallowing access to location sensitive objects.