Question

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

Answer 1

Hey how are you?

Answer 2

Not good, I really need help

Answer 3

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

Answer 4

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

Answer 5

Lol

Answer 6

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

Answer 7

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

Answer 8

I need the formula to the answer explained

Answer 9

Nah i get it now.

Answer 10

K

Answer 11

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

Answer 12

With what?

Answer 13

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

Answer 14

its a step to solving the equation

Answer 15

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

Answer 16

Correct

Answer 17

So do you 16 * 2 thats easy

Answer 18

K what did u get

Answer 19

Easy 32

Answer 20

ok do it with a negative -16

Answer 21

Um - 32

Answer 22

Lol correct

Answer 23

Hehe

Answer 24

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

Answer 25

1218t right?

Answer 26

Why do we have t all the sudden?

Answer 27

the t has been there lol

h = -16t^2 + 1250.

Answer 28

and you are correct

Answer 29

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

Answer 30

1218*

Answer 31

Ok and i already asked my friend @Thesmarterone to help

Answer 32

Oh I see because it was with the 16

Answer 33

Ok

Answer 34

If he dont come ill help

Answer 35

If he does will he replace you?

Answer 36

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

Answer 37

To cut it short?

Answer 38

well ik i messed up

Answer 39

Ok im kinda lots with that, but restart then?

Answer 40

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

Answer 41

Its ok man I got all day if we need to

Answer 42

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

Answer 43

@ganeshie8 @just_one_last_goodbye

Answer 44

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

Answer 45

What school is this?

Answer 46

Wow wolframalph can do that! dang...

Answer 47

Oh connections

Answer 48

i do flvs and yea that should help

Answer 49

Hi Captain America

Answer 50

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

Answer 51

Hey last idk if you could help or not

Answer 52

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

Answer 53

Tru

Answer 54

Still need step by step explination

Answer 55

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

Answer 56

Ya

Answer 57

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

Answer 58

Oh ok

Answer 59

Good?

Answer 60

Ya so t is -32?

Answer 61

Or just 32?

Answer 62

T IS 32 lol sry caps

Answer 63

So 32 per feet?

Answer 64

That is slow falling that cant be right

Answer 65

@satellite73 Is this correct

Answer 66

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

Answer 67

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

Answer 68

THATS WHAT I FORGOT TO DO DA* IM DUM

Answer 69

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

Answer 70

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

Answer 71

Ok... If you say so. Go on

Answer 72

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

Answer 73

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

Answer 74

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

Answer 75

I didn't notice anything and we would get 39.06

Answer 76

Correct

Answer 77

So thats what it would be

Answer 78

Thats what t is?

Answer 79

Yes ik im right

Answer 80

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

Answer 81

= 48828.125

Answer 82

OK

Answer 83

Now what do you think?

Answer 84

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

Answer 85

Awesome^-^

Answer 86

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

Answer 87

THANK YOU

Answer 88

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

Answer 89

But we should be good ;)