A robotic manipulator is an automated, articulated arm designed to execute complex tasks with precision, making it invaluable in welding applications where accuracy and consistency are paramount. This paper presents a comprehensive kinematic analysis of a 3 Degree of Freedom (DoF) industrial robotic manipulator tailored for welding applications. The objective is to elucidate the interdependence of the coordinates of the actuated joints on the manipulator's configuration and to determine the associated velocities. The kinematic behavior of the end-effector, which is critical for achieving precise welding operations, is scrutinized using the Denavit-Hartenberg (D-H) convention and transformation matrices. A thorough analysis of forward kinematics is conducted to facilitate accurate positioning and orientation of the welding tool. Advanced modeling techniques are employed to simulate the motion control of the end-effector. MATLAB is utilized for developing the kinematic model, while RoboAnalyzer is used to perform detailed computer simulations, providing a realistic depiction of the robot's performance. These simulations include the trajectory planning of the end-effector and the evaluation of the manipulator's response to various input parameters. The paper culminates with a critical assessment of the simulation results, highlighting the robot's capability to maintain the desired path and stability under operational conditions, thereby ensuring precision in welding tasks.