Systems and methods for regulating the speed of movement of virtual objects presented by a wearable system are described. The wearable system may present three-dimensional (3D) virtual content that moves, e.g., laterally across the user's field of view and/or in perceived depth from the user. The speed of the movement may follow the profile of an S-curve, with a gradual increase to a maximum speed, and a subsequent gradual decrease in speed until an end point of the movement is reached. The decrease in speed may be more gradual than the increase in speed. This speed curve may be utilized in the movement of virtual objections for eye-tracking calibration. The wearable system may track the position of a virtual object (an eye-tracking target) which moves with a speed following the S-curve. This speed curve allows for rapid movement of the eye-tracking target, while providing a comfortable viewing experience and high accuracy in determining the initial and final positions of the eye as it tracks the target.