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winter 09-04-2003 02:47 PM

Physics / Math question
 
At time = 0 a stone is dropped from the top of a cliff above a lake.

Another stone is thrown downward 1.6 seconds later from the same point with an inital speed of 32 m/s.

Both stones hit the water at the same instant. Find the height of the cliff.

Tala 09-04-2003 02:49 PM

E=MC2

:helpme

Dusen 09-04-2003 02:50 PM

Remember that the ONLY difference between the two rocks is the initial velocity. one has VI'=0 and other is VI''=32

Accelleration is the same, mass is the same (I assume), distance is the same.

Fabuleux 09-04-2003 02:51 PM

51.2m

(edit: first guess, but wrong)

candyflip 09-04-2003 02:52 PM

Google it. Google's supposedly got some kickass calculation software hooked into their engine.

Dildozer 09-04-2003 02:52 PM

damn i don't remember the old formulas for that, it should be easy if you know them

gornyhuy 09-04-2003 02:52 PM

first do distance = distance
left side of equation is 1/2 g (t-1.6)^2 + 32(t-1.6)
right side is 1/2 g t^2

solve for t

then plug in that value of t to either side to find the value of height


Thats pretty close... not bad for in my head anyway.

StuartD 09-04-2003 02:53 PM

into a lake? No way to know... since a lake could be at any level above or below sea level, thus effecting the gravitational pull... altering the speed of the falling rock.

Now... had you said ocean....

BV 09-04-2003 02:55 PM

not enough info

Fabuleux 09-04-2003 02:55 PM

Is it on earth?

winter 09-04-2003 02:58 PM

the answer is 27.6 meteres.... I just dont know the equations to use :P

BV 09-04-2003 02:58 PM

Quote:

Originally posted by MaskedMan
into a lake? No way to know... since a lake could be at any level above or below sea level, thus effecting the gravitational pull... altering the speed of the falling rock.

Now... had you said ocean....

acceleration rate of gravity is 32 fps square over an ocean, lake, or dry land (not taking wind resistance into account)

winter 09-04-2003 03:01 PM

Quote:

Originally posted by gornyhuy
first do distance = distance
left side of equation is 1/2 g (t-1.6)^2 + 32(t-1.6)
right side is 1/2 g t^2

solve for t

then plug in that value of t to either side to find the value of height


Thats pretty close... not bad for in my head anyway.

yeah, you got it, thanks man! :thumbsup

Dusen 09-04-2003 03:01 PM

Quote:

Originally posted by BV


acceleration rate of gravity is 32 fps square over an ocean, lake, or dry land (not taking wind resistance into account)

Do they actually teach physics in the USA in imperial units?

That seems very very backward.

Phoenix 09-04-2003 03:01 PM

84 metres?

gornyhuy 09-04-2003 03:03 PM

Quote:

Originally posted by winter


yeah, you got it, thanks man! :thumbsup

WOOO HOOOO.

Cool... Good to know that shit is still in my brain somewhere even though I never use it anymore.

gornyhuy 09-04-2003 03:03 PM

Quote:

Originally posted by Dusen


Do they actually teach physics in the USA in imperial units?

That seems very very backward.

No its always metric from grade school through grad school... at least it was for me.

FATPad 09-04-2003 03:03 PM

After careful consideration of all the data, I will say 3.

BV 09-04-2003 03:03 PM

Quote:

Originally posted by Dusen


Do they actually teach physics in the USA in imperial units?

That seems very very backward.

I don't know about now but back in 1983 they did. :)

loverboy 09-04-2003 03:05 PM

damn, 3 seconds late. i just forgot the formula.

Dusen 09-04-2003 03:09 PM

Touche.

:thumbsup


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