Okay, I dont have a specific answer, but Im just gonna kinda work this through cause the only such popping Ive ever had was due to a bad wheel bearing, but that only happened in sharp turns like maneuvering in a parking lot.

When you come to a stop. the rear unloads to some extent and weight is transfered to the front. Likewise when you take off, the front unloads and the weight is transfered to the rear. That itself would have me inspecting the struts and related components. I dont 'think' the sway bar and end links would be the issue, but I would at least inspect the end links since they are connected to the LCA and would perhaps be moved some due to strut action.

The only other thing I can think of after that would be the ball joint but I dont see one popping like that unless it has just bound up, but they typically dont do that. My best guess would be to check the thing that would bind and such when stopping and release when taking off.

I suppose the upper motor mount bushings could be at fault too and easy enough to inspect, but I would thing a failure there would result in some knocking or something just revving the motor as it would allow more movement regardless of stopping or taking off.