Odpowiedź:
h=1km
u=2km/h
vl=2,5km/h
vc=4km/h
1)
s=h=1km
v=√u²+vl²
v=√2²+2,5²
v=3,2km/h
t=1km/3,2km/h
t=0,31h
2)
(vl*t)²=h²+(u*t)²
vl²h²-u²t²=h²
2,5²t²-2²t²=1²
6,25t²-4²=1
2,25t²=1
t²=0,44
t=0,66h
s2=2km*0,66h
s2=1,32km
t2=s2/vc
t2=1,32km/4km/h
t2=0,33h
tk=0,66h+0,33h=1h
pierwsza metoda jest szybsza o 0,69h czyli 41,4min
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Odpowiedź:
h=1km
u=2km/h
vl=2,5km/h
vc=4km/h
1)
s=h=1km
v=√u²+vl²
v=√2²+2,5²
v=3,2km/h
t=1km/3,2km/h
t=0,31h
2)
(vl*t)²=h²+(u*t)²
vl²h²-u²t²=h²
2,5²t²-2²t²=1²
6,25t²-4²=1
2,25t²=1
t²=0,44
t=0,66h
s2=2km*0,66h
s2=1,32km
t2=s2/vc
t2=1,32km/4km/h
t2=0,33h
tk=0,66h+0,33h=1h
pierwsza metoda jest szybsza o 0,69h czyli 41,4min