>On Thursday, June 27, 2002, at 12:57 PM, Peter Bancroft wrote: > >>> Can any of you geniuses provide an outline for creating a particle >>> spewer? >>> >>> >>> Particle goes up, perhaps with some angular vector amount toward one >>> side >>> or another , thus arcs over due to gravity, falls, then bounces a >>> couple >>> times..not big bounces...like a Sparkler. >> >> Sinusoids with a gravity component. Look for the mathematics of >> trajectories of cannon balls or bullets. >> >> Peter >> > > Year 11 physics actually. They are actually parabolas. You break it >into the x and y components. > > X acceleration = 0 > Y acceleration = -g (positive is up) > > X velocity = k (constant (given by x component of the launch velocity)) > Y velocity = -gt + C1 (integrate acceleration with respect to time) >work out constant with initial conditions (t = 0, Y velocity = y >component of launch velocity). > > X position = kt + C2 (integrate velocity with respect to time) work >out constant with initial conditions (position relative to origin at t = >0) > Y position = (-g/2)*(t^2) + C1t + C3 (integrate velocity with respect >to time) work out constant with initial conditions (position relative to >origin at t = 0) > > If there is acceleration in the x direction then you need to start >with that and integrate up to the position. if you want X,Y coordinates >you eliminate t in the position equations. > > Hope this helps > > Ashley ~)~ Thanks for the clarifications. I know it was similar , and there was a need for a time factor but needed a breakdown. Different from the kind I am used to. :) Thankee. rc