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( )




N8

 

. Vo. ?

> restart;

H t : H= ho+Vot -(gt^2)/2, t

(g/2) t^2 ho - Vot + =0.

 

> SD:=(g*t^2)/2-ho-Vo*t + H = 0;

t :

 

> T:=solve(SD,t);

(, =10 ) . 0 20 /.

( )

.

> ho:=0;

.

> g:=9.8;

.

> H:=10;

> plot((g*t)/2 + H/t,t=0..10,

title=" (=10) \n ",

titlefont=[TIMES, ROMAN, 14],view=[0..4,0..20],

labels=["t (Vo), c ","Vo, /"],labelfont=[TIMES, ROMAN, 12]);

> with(plots):

animatecurve(((g*t)/2 + H/t,t=0..10), frames=100,

title=" (=10) \n ",

titlefont=[TIMES, ROMAN, 14],view=[0..4,0..20],

labels=["t (Vo), c ","Vo, /"],labelfont=[TIMES, ROMAN, 12]);

Warning, the name changecoords has been redefined

 

, , . , .

 

> for Vo from 0 to 20 do print(t(Vo)=T(Vo))od;

, 0 13 /, 10 . V=14 / =10 . 15 / .

 

(, Vo=15 /c) , . 0 20 .

 

( )

.

> ho:=0;

.

> g:=9.8;

.

> Vo:=15;

> plot(-(g*t^2)/2+Vo*t+ho,t=0..4,

title=" \n Vo=15 /",

titlefont=[TIMES, ROMAN, 14],view=[0..4,0..20],

labels=["t (), c ","H, "],labelfont=[TIMES, ROMAN, 12]);

> with(plots):

animatecurve((-(g*t^2)/2+Vo*t+ho,t=0..4), frames=100,

title=" \n Vo=15 /",

view=[0..4,0..20],titlefont=[TIMES, ROMAN, 14],

labels=["t (), c ","H, "],labelfont=[TIMES, ROMAN, 12]);

 

> for H from 0 to 20 do print(t(H)=T(H))od;

c , V=15 / t = c. 12 .

ho :

) ;

) Vo.

.

 





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