??????????? SF??????

1
??????????? SF??????

• ? µ?t??s? µ?a? p?s?t?ta? µa? d??e? t? µ??e??? t??
• ?? sf??µa µa? d??e? t?? aßeßa??t?ta (? t??
  d?a??µa?s? ? t?? a????) t?? µ?t??s??.
• ?.?. ?? ep?µe?e? d?? ?µ?de? f??t?t?? ????? ?at?
  µ?s?? ??? t? ?d?? ????. ???a ap? t?? d?? ?a
  ??e?e? ?a a?t?µet?p?se?? st? µp?s?et

2
1.82m 1.83m 1.82m
1.82m 1.81m
1.82 0.01 m
3
1.82m 1.83m 1.62m
1.82m 2.01m
1.82 0.20 m
4
?p?µ???? ? s?st? ??af? t?? µet??se?? e??a? 1.82
0.20 m
????de? (p??ta!!!)
??t??s? (? µ?s?? ???? ??a p????? µet??se??)
Sf??µa (p??ta 1 ??f??)
5
?p?????sµ?? sf??µat??

• ??a ?µes? µ?t??s? x
• ?????? ?µese? µet??se?? x1, x2,, xN
• ?µµes? µ?t??s? ap? ?p?????sµ? y f(x)

6
?µes? µ?t??s?
???? ap? ??a e??a? s?st? x 1.6 0.052 cm x
1.6 0.05 x 1.6 0.05 cm x 1.6 0.07 cm x
1.645 0.05 cm
0
2
1
3
7
?µes? µ?t??s?
???? ap? ??a e??a? s?st? x 1.6 0.052 cm x
1.6 0.05 x 1.6 0.05 cm x 1.6 0.07 cm x
1.645 0.05 cm
0
2
1
3
??t??s? ½ ?p?d?a??es??
8
(S?µa?t??? ??f?a)
? pa?ap??? µ?t??s? 1.6 cm ??e? 2 s?µa?t??? ??f?a
(a??? ??a de?ad??? ??f??) ta ?p??a ta d?aß????µe
st? ???a??. ?p????µe ?a p??s??s??µe ?a? ??a
?ate?t?µ?s? ??f?? d?? x 1.62 0.05 cm
0
2
1
3
??t??s? ??????? ?ate?t?µ?s? ??f?? ½
?p?d?a??es??
9
?????? ?µese? µet??se??
??µµ?t? ????, d??µet??? x1 2.72 cm x2 2.75
cm x3 2.68 cm x4 2.73 cm x5 2.65 cm x6
2.70 cm N 6 µet??se??
10
??s?? ???? (2.72 2.75 2.68 2.73 2.65
2.70) / 6 2.705 cm St???????p??? 2.71 cm
?a??µat????
11
?? sf??µa d??eta? ap? t?? e??? s??s? ?a?
???µ??eta? t?p??? sf??µa µ?s?? t?µ??
G?a t?? ?p?????sµ? t?? µ?s?? t?µ?? ?a? t??
sf??µat?? ?atas?e?????µe t?? e??? p??a?a
???ad? x 2,71 0.01 cm (p??ta 1 ??f?? st?
sf??µa)
12
?µµes? µ?t??s? ap? ?p?????sµ?

• ?a??de??µa ??a? f??t?t?? µ?t??se t?? ????? p??
  ??e???eta? ?a??µe????? ??a ?a ft?se? st?
  pa?ep?st?µ?? µe p?d??at? t 32 5 min ??a µ?a
  ap?stas? x 8.4 0.5 km
• ?e p?s? ta??t?ta ???eta? st? pa?ep?st?µ?? ?a?
  p??? e??a? t? sf??µa t?? ta??t?ta?

13
t 32 5 min, x 8.4 0.5 km ?p??t?s?
S??e?d?t?p????µe ?t? ? v de? µet??ta? ?µesa a???
?p??????eta? ap? t?? s??s? v f(x,t) x / t
8.4 / 32 0.26 km/min ?s? ??a t? sf??µa
???s?µ?p????µe t?? ?e???? s??s? s2 fx2 sx2
ft2 st2
?a??????? ?? p??? t
?a??????? ?? p??? x
G?a t? s???e???µ??? pa??de??µa s2 (1/t)2 sx2
(-x/t2)2 sy2 (1/32)2 0.52 (-8.4/322)2 52
0,001926 km2/min2
v 0.26 0.04 km/min