Beschleunigte Bewegung
Meßwerte
s:=[0, 0.4, 0.3, 0.15, 0.05, 1];
t:=[0, 2.5743, 2.201, 1.502, 0.922, 3.987];
dt:=[infinity, 0.05357, 0.06141, 0.08728, 0.1585, 0.03452];
ds:=0.0173;
Ansatz: s = k·t²
Also: k =
s[i]/t[i]^2 $ i=2..nops(t);
k := stats::mean(%);
punkteP := plot::Point2d(t[i],s[i]) $ i=1..nops(t):
graphP := plot::Function2d(k*x^2, x = 0..4):
plot(punkteP,graphP);
v =
v:=map(map(dt,_invert),_mult,ds);
v[i]/t[i] $i=2..nops(t);
a := stats::mean(%);
plotPunkte := plot::Point2d(t[i],v[i]) $ i=1..nops(t):
plotGraph := plot::Function2d(a*x, x = 0..4):
plot(plotPunkte,plotGraph);