Lösungen
Aufgaben
Aufgabe 1)
geg.: v0 = 800 m/s , a = 40 m/s2 t = 3s.
ges.: s = ?, v = ?
Lös.:
s = 1/2 · a · t2 + v0 · t
s = 1/2 · 40m/s2 · (3s)2 + 800m/s · 3s
s = 2580m
v = a · t + v0
v = 40m/s2 · 3s + 800m/s
v = 920m/s
Aufgabe 2)
geg.: s = 100m, s1 = 20m, s2 = 80m, t = 12s.
ges.: a = ?, v = ?
Lös.:
t = t1 + t2
s1 = 1/2 · a · t12 v = a/t
s1 = 1/2 vt1
t1 = (2s1)/v
t2 = s2/v
t1 und t2 in Gleichung für t:
t = (2s1)/v + s2/v
v = (2s1 + s2)/t
v = (40m + 80m)/12s
v = 10 m/s
v = 36 km/h
v = at1
a = v/t1
t1 = (2s1)/v
t1 = (40m)/(10m/s)
t1 = 4,0s
a = (10m/s)/(4,0s)
a = 2,5m/s2
