[G Gumnasiou]Fusiki - Theoria -Askiseis Kefalaio 1-2

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Transcript of [G Gumnasiou]Fusiki - Theoria -Askiseis Kefalaio 1-2

; - .: (

) , ( x

) - (t) - . x t= =

, . , . ( ) . (t) . S.I. 1m/s, (m) (s). : km/h, cm/s,km/s ... -.24. - ; () ( ), - .( ) =S t= () , (, ...): - t 1, 5h = . s 120km = - :S 120km 80km/ ht 1, 5h= = = ; (

), - (x

) (t ), - (t ).! () - S.I. m/s. () . () t t.25. ( ) =2 1 2 1x x x x t t t t

= = = () - - . ; . . . x

xt

. - , . ; .. xt

- . - . , - 10km , ... () ! H - - - (t) - x.26. .. x t . . . . , xx, - yy.. - cm (1, 2, 3, 4) (0, 5, 10, 15) cm .. (x, t) .. x t.x(m)t(s)200 1 2 3 4 520 20 20 20 200 2 3 1 4 5 t(s)t(s)0 10 15 5 20 2502314x(cm)020301040x(cm)0 2 3 1 4 520301040t(s)x(m)xt1. xt= -.2. 3. .4. .5. St= .27. 1m/s 1Km/h;1km3600km10001m/ s 3, 6km/ h1 1000hh3600= = = , 1000m 101m/ h 1 m/ s3600s 36= =. 1m/s 1km/h. = =1 2 20m/ s , 50km/ h =3 5000cm/ min . ; - , .. km/h. : 120km72000km1000 20m/ s 72km/ h1 1000hh3600= = = = : 2 50km/ h = : 350km3000km1000 5000cm/ min 50m/ min 3km/ h1 1000hh60= = = = = .28. xox 1t = 3s x = 13m 2t = 7s = +Bx 19m. . : ( )x 1t=

: ( ) ( ) ( ) B Ax x x x x 19m 13m 32m 2 = = = + = + : ( ) 2 1t t t t t 7s 3s 4s 3 = = = = ( ) ( ) ( ) 2 , 3 32m1 8m/ s4s+ = = + (+) - . : ( )os 4t= :( )B AS x x x 32m 5 = = = ( ) ( ) ( ) 5 , 3 32m4 8m/ s4s = = , = +x 10m = +x 4m - = t 4s . - : ( )x 1t=

:( ) ( ) ( ) B Ox x x x x 4m 0m 4m 2 = = = + = + : ( ) t 4s 3 =x xOx -13 0 +19S0 2 4 6 8 10 -2 -4xOAB29. ( ) ( ) ( ) 2 , 3 4m1 1m/ s4s+ = = + (+) - . : ( )os 4t= :( ) ( ) ( )( )OA AB A O B AS d d x x x x 10m 0m 4m 10m10m 6m 16m 5= + = + = + + + + == + = ( ) ( ) ( ) 5 , 3 16m4 4m/ s4s+ = = +. =1t 3s , = +x 10m =2t 8s . . : ( )x 1t=

:( ) ( ) ( ) Ox x x x x 0m 0m 0m 2 = = = = : ( ) 2 1t t t t t 5s 3 = = = ( ) ( ) ( ) 2 , 3 0m1 0m/ s4s = = , . : ( )os 4t= :( ) ( ) ( )( )OA A A O AS d d x x x x 10m 0m 0m 10m10m 10m 20m 5= + = + = + + + == + = ( ) ( ) ( ) 5 , 3 20m4 4m/ s5s = =.0 2 4 6 8 10 -2 -4OAB30. 1. ; . ; :2. 2 m/s :. . . . 3. 4 m/s. :. . . . 4. 4m/ s , :. . . . () ().5. 36km/h 5m/s6. .7. :8. . - . .31.1. 1 30m/ s = 2 40Km/ h = . ;2. xox 1t 5s = Ax 3m = , 2t 9s = Bx 19m = . - .3. , - x 10m = + x 6m = - t 2s = . .4. , x 8m = + x 1m = + - t 7s = . .5. 1t 0s = , x 20m = + 2t 10s = . .32. 1 () () :. .. .. . 2 ; S.I; 3T ( )u ; 1 xOx 1t 0sec = ( )1x 0 = . 2t 5s = 2x 1, 8m = + 3t 10s = 3x 1m = + . :. . . 2 1t 0s = 2t 4s = x 12m = + . 3t 8s = .. 4s .. t 8s = . ; - . ; - . =

-, , . . - ; :( )2 1o 2 1x x x x . 1t t t t

= = = = :2 12 1x x x x .t t t t

= = = = (2), t . - . = B A x = 50mx = 50mx = tx :x x =t t:x xt =34. (1) (2) - . 1t 0 = 1x 0 = ( ), - 2t t = 2x x = t. (1) 2 2x x, t t = = 1 1x 0 , t 0 = = : x .t= = (3) x t = (4). , - ( ). . . ( ) = .

(. . =

), - .B. -: x = t x = t - (.x t x t = = ) - . - - . - - . x x(m)t(s) S x - . x = x t = t S = x.! - - . ( ) mt(s)35. - x - t . -- . - . - : ( ) ( )OABE t x = = = (). - -. - - . - - . -- . - . . . : x t= = = = - - . - , - , , . x - t (m/s)t (s)E = x A Bt 0H - - - . = x m) (t (s)x1At10x2t2tx2 1 2 1x x x , t t t = = 36. 1. :. , . S ( )x. . , ( ). S 2. ( - t) - x t.3. , - , = = x - t - - t. > .x(m)t(sec)ABxAxB0 t137. = 50m/s . 0t = 0 xox.. 1x 1t = 4s. 2t 2x = 600m. .. ( ) x = t 1 (1) 1t t = 1x x = 1 1 1 1mx t x 50 4s x 200ms= = = .. (1) 2x x = 2t t = 22 2 2 2 2x 600x t t t s t 12s 50= = = =. , .0 4 8 122550 (m/s)t s) (0 4 8 12200600x m) (t s) (: - (x - t) .38. xox = 10m/s ( )1t = 0s 1x = +20m .. 2x 2t = 4s. 3t 3x = 0. - - .. : ( ) ( )2 12 1 2 1 2 1 2 12 1x x x x t t x x t tt t= = = + ( )2 2x 20m 10m/ s 4 0 s x 20m 40m 2x = 20m = = . 3 1 3 1 3 13 1 3 13 1x x x x x x t t t tt t = = = + ( )30 20mt 010m/ s 3t = 2s + = + . . - . .. ( )1 1x , t ( )2 2x , t . . , 1 = 5m/s 2 = 3m/s , - ABd = 12m . . .. . 1 2 .0 1 410 (m/s)t s) (-100 2 420x m) (t s) (-2039. . . t t = . 1 2 . 1 1x 2 2x . ( )1 2x = d +x 1 . 1 , ( )1 1 x t 2 = 2 , ( )2 2 x t 3 = ( ) ( ) ( )( )2 , 31 2 1 2 1 t d t t d = + = ( ) 1 2d 12t t s 5 3 t = 6s = = 1x . (2) :1 1 x t 5m/ s 6s 30m = = = . 6s 30m .. t(A) (B) ()x2x11 2 1 21 2(d)(A) () ()(x )2d1 21 21 2(x )140. : ( )1 2d = x + x 1 1 2 :( )1 1 x t 2 = ( )2 2 x t 3 = . ( ) ( ) ( )( )2 , 31 2 1 2d 121 d t t t t s 5 3 t = 1, 5s = + = = + + 1x . (2): 1x 5m/ s 1, 5s 7, 5m = = . - 1 = 60m/s 2 = 100m/s . - t = 4s :. - . . .. S t 1S 2S - :( )1 2t t t / 2 2s 1 = = = ( )1 2S S S 2 = + . 1 2 1t 2t 1S 2S :( )1 1 1S t 60m/ s 2s 120m 3 = = = ( )2 2 2S t 100m/ s 2s 200m 4 = = =. : 1 2S S S 320m = + =. : S 320m 80m/ st 4s= = =: t t. .B A S1 S2St1 t2t 1 241. . - 1 = 30m/s 2 = 70m/s . S = 210m :. , ,. .. S ,1S S/ 2 = 2S S/ 2 = . , t 1t , 2t - 1S 2S . 1S 2S : ( )1 2S S S/ 2 105m 1 = = = :( )1 11 11 1S S 105 t s 3, 5s 2t 30= = = = ( )2 22 22 2S S 105 t s 1, 5s 3t 70= = = = : ( )1 2t t t 5s 4 = + =. : S 210m 42m/ st 5s= = =B A S/2St1 t2t 1 2S/242. 1. ;2. ;3. (, t) .4. (x, t) . :5. :. . . . 6. :. . . . () ().8. , .9. .10. .11. - .12. . :13. . .43. 1. 72 km / h. 0