As some molten metal splashes, one droplet flies off to the east with initial speed vi at angle θi above the horizontal, and another droplet flies off to the west with the same speed at the same angle above the horizontal, as inthe figure. In terms of vi and θi, find the distance between the droplets as a function of time. (Use v_i for vi, q_i for θi, and t as appropriate in your equation for the distance.)