A review of vector analysis, projectile motion and solving kinematics problems was given. Many example problems were demonstrated. The underlying physics involved with an object in projectile motion was explored with an emphasis on the different kinematics equations in vector component form. Finding the formula for the maximum height of a projectile was shown using only the three kinematics equations. This method was related to how to find the range of a projectile in motion or the total distance an object will travel which was then assigned as a homework problem.