So we are designing a roller coaster for a project, the roller coaster starts at 100m above ground and it has to go through all of these elements. for the whole ride, i need to find the lateral and the up/down g forces that are acting on the rider. for the roller coaster itself, i have made a function for the roller coaster but i do not know how to get the acceleration components. what i have so far is that v=ds/dt. but the problem is that my velocity does not depend on time, it depends on height because of conservation of energy. my velocity right now is.. v=Sqrt(2*g*(ho-h)). i do not know where to go from here, because it does not depend on time. i need acceleration in terms of position. some other equations i've looked at are dv/ds*v=a(s) --> v*dv=a(s)*ds i've been staring at this for about a day now and the project is due monday. please help..