- MrNebula

Please explain how I can use math to solve the problem.
Sarah drops a penny from a height of 1250 feet. I will be using h for height and t for time in seconds, this will be modeled in the function h = -16t^2 + 1250. How will it take for Sarah’s penny to reach the ground?
How I would do it is get this "Sarah" to drop the penny again so I can just count how long it takes. But I have to use "Math" to solve it. How do I use "Math" to solve it?
Explain, PLEASE NO DIRECT ANSWER I WANT TO LEARN

- schrodinger

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- geekfromthefutur

Hey how are you?

- MrNebula

Not good, I really need help

- geekfromthefutur

Ok, well im here to help ya. So you can get this nasty math problem out of the way sound good?

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## More answers

- MrNebula

Yes after I read what you said I nearly cried :D

- geekfromthefutur

Lol

- geekfromthefutur

Just to let you know im looking over your problem and getting all the facts.

- MrNebula

I know im letting you take your time if you dont understand what its asking let me know

- MrNebula

I need the formula to the answer explained

- geekfromthefutur

Nah i get it now.

- MrNebula

K

- geekfromthefutur

First, we are going to have to multiply 16 ^2

- MrNebula

With what?

- geekfromthefutur

Thats it we have to solve 16^2. You know how if noti will show you how.

- geekfromthefutur

its a step to solving the equation

- MrNebula

I know that the ^2 is the square root right?

- geekfromthefutur

Correct

- MrNebula

So do you 16 * 2 thats easy

- geekfromthefutur

K what did u get

- MrNebula

Easy 32

- geekfromthefutur

ok do it with a negative -16

- MrNebula

Um - 32

- geekfromthefutur

Lol correct

- MrNebula

Hehe

- geekfromthefutur

Ok so now we have to do this -32t + 1250 now solve that

- MrNebula

1218t right?

- MrNebula

Why do we have t all the sudden?

- geekfromthefutur

the t has been there lol
h = -16t^2 + 1250.

- geekfromthefutur

and you are correct

- MrNebula

I know that but why are we multiplying it with 1218t?

- MrNebula

1218*

- geekfromthefutur

Ok and i already asked my friend @Thesmarterone to help

- MrNebula

Oh I see because it was with the 16

- MrNebula

Ok

- geekfromthefutur

If he dont come ill help

- MrNebula

If he does will he replace you?

- geekfromthefutur

Actually I messed up lol xD it is 32 seconds it takes to fall to cut it short

- MrNebula

To cut it short?

- geekfromthefutur

well ik i messed up

- MrNebula

Ok im kinda lots with that, but restart then?

- geekfromthefutur

lemme c if i can get some1 in here if not we will work together again lol sorry this turned into a long problem

- MrNebula

Its ok man I got all day if we need to

- MrNebula

This problem may save my butt in school so I dont care how long it takes

- geekfromthefutur

@ganeshie8 @just_one_last_goodbye

- geekfromthefutur

Ok here:
http://www.wolframalpha.com/input/?i=Sarah+drops+a+penny+from+a+height+of+1250+feet.+I+will+be+using+h+for+height+and+t+for+time+in+seconds%2C+this+will+be+modeled+in+the+function+h+%3D+-16t%5E2+%2B+1250.+How+will+it+take+for+Sarah%E2%80%99s+penny+to+re

- geekfromthefutur

What school is this?

- MrNebula

Wow wolframalph can do that! dang...

- MrNebula

Oh connections

- geekfromthefutur

i do flvs and yea that should help

- MrNebula

Hi Captain America

- MrNebula

Well I can use the graph to show some extra data...

- geekfromthefutur

Hey last idk if you could help or not

- MrNebula

I still will need to show how I came up with the answer and I dont want it as a "direct answer"

- geekfromthefutur

Tru

- MrNebula

Still need step by step explination

- geekfromthefutur

Ok well lets see first you mutiply -16 x 2 and you get -32t

- MrNebula

Ya

- geekfromthefutur

So then, The total seconds it fallen was 32 seconds. Because when you mutiply 16*2 it will give u -32 and with the 1250 it was already part of the problem so the only thing needed to be done was mutiplication and solving 16*2

- MrNebula

Oh ok

- geekfromthefutur

Good?

- MrNebula

Ya so t is -32?

- MrNebula

Or just 32?

- geekfromthefutur

T IS 32 lol sry caps

- MrNebula

So 32 per feet?

- MrNebula

That is slow falling that cant be right

- geekfromthefutur

@satellite73 Is this correct

- MrNebula

Well I guess with the wind pushing the penny up making the fall slower

- MrNebula

if it is correct then all I have to do is times 32 by 1250 that will give me how much time it takes from top to bottom

- geekfromthefutur

THATS WHAT I FORGOT TO DO DA* IM DUM

- MrNebula

Wait you didn't think to times 32 by 1250?

- geekfromthefutur

No because it you mutiplied it would be to high of a nimber so we have to divide the time

- MrNebula

Ok... If you say so. Go on

- geekfromthefutur

So now how would u do it 32/1250 or 1250/32?

- MrNebula

32/1250 would be way to small of a number but why would we 1250/32

- geekfromthefutur

Exactly and what would we get and sorry the site got closed down

- MrNebula

I didn't notice anything and we would get 39.06

- geekfromthefutur

Correct

- geekfromthefutur

So thats what it would be

- MrNebula

Thats what t is?

- geekfromthefutur

Yes ik im right

- MrNebula

K so now we times that by 1250 to find the total time from top to bottom

- MrNebula

= 48828.125

- geekfromthefutur

OK

- geekfromthefutur

Now what do you think?

- MrNebula

I think that t = 39. and the total time from top to bottom is 48828

- geekfromthefutur

Awesome^-^

- MrNebula

Thanks I just need to put this down in steps and explain it step by step!

- MrNebula

THANK YOU

- MrNebula

Ill let you know what my teacher says about it so we can both be corrected if there is a issue

- MrNebula

But we should be good ;)

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