/sci/ - Science & Math

>>10122962
This is an extremely trivial problem that can be solved without Calculus.
First, we'll apply a Newtonian shift of perspective, that is, instead of thinking of the ball moving the box, we'll consider the box moving along the ball. More specifically, the edge of the box as a single point moving along the ball. Since the whole of the force is put into this movement, the point moves in a circular path of ninety degrees with centripet force F=g/2=mv^r/r, where r is the radius of the ball. The dots final speed upwards is the ball's speed downwards under the original perspective, and since it's diameter closes in the two balls it has a D/2 distance left to go as a free fall, and the Torricelli equation can finish the job.