We explore BouncyScreen, an actuated 1D display system that enriches indirect interaction with a virtual object by pseudo-haptic feedback mechanics enhanced through the screen's physical movements. We configured a proof-of-concept prototype of BouncyScreen with a flat-screen mounted on a mobile robot. When the user manipulates a virtual object using virtual reality (VR) controllers, the screen moves in accordance with the virtual object. We conducted psychophysical studies to examine how BouncyScreen's physical movements would affect users' pseudo-haptic perceptions and interaction experiences. Our preliminary study using a weight discrimination task for object pushing interaction showed that BouncyScreen offers identical pseudo-force feedback to the vision-based pseudo-haptic technique. We conducted a follow-up psychophysical study using a weight magnitude estimation task for object pushing and bumping interactions. The results reveal that a users' perceived weight magnitude is enhanced by the screen's physical motion under different characteristics depending on interaction styles (i.e., pushing and bumping). Our study also confirmed that the screen's synchronous physical motions significantly enhance the reality of the interaction and the sense of presence. We close this paper with some applications and use suggestions for BouncyScreen in future HMD-free flat-screen 3D user interface systems.