1. The problem statement, all variables and given/known data The a-s graph for a rocket moving along a straight horizontal track has been experimentally determined. If the rocket starts from rest, determine its speed at the instants s = 20m, 50m, and 70m, respectively. On the graph, S1 = 50m, a1 = 10 m/s^2, S2 = 70m, and a2 = 20 m/s^2 2. Relevant equations ads = vdv 3. The attempt at a solution I know that the solution for the velocity at S2 = 70m is V = 40 m/s, but I'm not sure how to get there. I know we talked about the relationship for ads = vdv so I tried taking the integral on both sides to calculate for the velocity. I tried to solve for the velocity at S2 The integral from 0 to v of vdv = the integral from 0 to 20 of ads So, V^2/2 = 20s which means V^2 = 40s where S = 70 meters. So I get V = √(40)(70) = 52.9, which is not correct. Any help would be much appreciated!