@@ End of Day Wrap : Sun-Mon 7/7/14 Sydney, Australia Time 11:15am ♬
Hi everybody,
Lots of great answers today from reinout-g, Cphill, Rosala, Kitty<3, Pokemonfan58, Snip35, NinjaDevo, Bertie, Quazars, Alan, Admin and Zegroes. Thank you all.
Quazars is new. Welcome to web2.0calc forum. We hope you learn a lot and enjoy yourself here.
Andre Massow (owner and developer of web2.0calc.com) has added a dropdown list to our Conversations in our message centre. Now only the top 10 show. For me this is great. Before I felt like i had to scroll through every member of the whole forum before I could get to where I needed to be. This should be much better. Thank you Andre! Rosala said in her poem that you are the most important one because without you we would have not forum at all. Thank you for everything you do for us.
Chris asked Ninja how he drew his number lines. This was Ninja's recommendation.
I really must take a look. Maybe you could put it into your 'development' thread somewhere Ninja?
http://www.getpaint.net/index.html
Now for some general posts.
Concentrations in fluids - Maybe someone would like to do a 3rd solution using algebra?
http://web2.0calc.com/questions/how-do-make-10gm-lt-solution-from-from-100gm-lt-stock-solution
A little calculus in motion problem.
http://web2.0calc.com/questions/velcro-b***s
Let's end the day with a laugh.
http://web2.0calc.com/questions/lets-end-the-day-with-a-laugh_2
Now Zegroe's take.
http://web2.0calc.com/questions/the-reality-of-rosalas-poem#r1
That is it for tonight.
Thanks all,
♬ ♬ MELODY ♬ ♬
Initially $$t=0$$
$$\\\ddot{x}=0 \quad \dot{x}=23cos35^0 \quad x=0\\\\
\ddot{y}=-9.8 \quad \dot{y}=23sin35^0 \quad y=0\\\\$$
------------------------------------------------------------------
Ongoing
$$\\\ddot{x}=0\\\\ \dot{x}=23cos35^0\\\\ x=(23cos35^0)t$$ | $$\\\ddot{y}=-9.8\\\\ \dot{y}=-9.8t+23sin35^0\\\\ y=\frac{-9.8t^2}{2}+(23sin35^0)t\\ y=-4.9t^2+(23sin35^0)t$$ |
Find y when x=30
When x=30
30=(23cos35)t
t=30/(23cos35)
t=1.592314681
$${\mathtt{\,-\,}}{\mathtt{4.9}}{\mathtt{\,\times\,}}{{\mathtt{1.592\: \!314\: \!681}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{23}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{35}}^\circ\right)}{\mathtt{\,\times\,}}{\mathtt{1.592\: \!314\: \!681}} = {\mathtt{8.582\: \!442\: \!534\: \!071\: \!419\: \!9}}$$
The ball will hit the wall 8.58 metres above the floor.