Serway & Jewett — Motion in Two Dimensions: Problem 40

As some molten metal splashes, one droplet flies off to the east with initial velocity \(v_i\) at angle \(\theta_i\) above the horizontal, and another droplet flies off to the west with the same speed at the same angle above the horizontal as shown in Figure P4.40. In terms of \(v_i\) and \(\theta_i\), find the distance between the two droplets as a function of time.