Odpowiedź:
�
:
=
0
ℎ
10
2
?
dane:
v
o
=0
h=10 m
g=10
s
m
szukane:
t=?
\begin{gathered}s = \frac{at^{2}}{2}\\\\s = h\\a = g\\\\h = \frac{gt^{2}}{2} \ \ \ \ |*2\\\\gt^{2} = 2h \ \ \ \ /:g\\\\t^{2} = \frac{2h}{g}\\\\t = \sqrt\frac{2h}{g}}= \sqrt{\frac{2*10m}{10\frac{m}{s^{2}}}}= \sqrt{2} \ s\\\\t \approx1,4 \ s\end{gathered}
Odp. Kamień spada w czasie ok. 1,4 s.
licze na naj :)
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Odpowiedź:
�
�
�
�
:
�
�
=
0
ℎ
=
10
�
�
=
10
�
�
2
�
�
�
�
�
�
�
:
�
=
?
dane:
v
o
=0
h=10 m
g=10
s
2
m
szukane:
t=?
\begin{gathered}s = \frac{at^{2}}{2}\\\\s = h\\a = g\\\\h = \frac{gt^{2}}{2} \ \ \ \ |*2\\\\gt^{2} = 2h \ \ \ \ /:g\\\\t^{2} = \frac{2h}{g}\\\\t = \sqrt\frac{2h}{g}}= \sqrt{\frac{2*10m}{10\frac{m}{s^{2}}}}= \sqrt{2} \ s\\\\t \approx1,4 \ s\end{gathered}
Odp. Kamień spada w czasie ok. 1,4 s.
licze na naj :)