Question

How long will the water stay in the air?
y=-16x^2+233x+0

Answer 1

@aaronq

Answer 2

@iPwnBunnies

Answer 3

H(t)= -16t^2+vt+s

Answer 4

a=-16, b=233,c=0

Answer 5

Ok, this is a position function, given. You're trying to find the time, t, when the water hits the ground.
Do you agree when the function equals 0, the water is at ground level?

Answer 6

So, the function is y = -16t^2 + 233x?

Answer 7

yeah, thats why i put 0 there silly ;3

Answer 8

233t*

Answer 9

anyway...

Answer 10

lets get to les solving!

Answer 11

Nooo, you added a 0. Which is not the same as setting the equation equal to 0.

Answer 12

0 DOESNT HAVE TO BE THERE!!

Answer 13

0=-16t^2+233x

Answer 14

there is that better for you?

Answer 15

Yesh.
0 = -16t^2 + 233t
16t^2 = 233t

Reduce, solve for t. That'll be the time when the water reaches the ground, when the position function equals 0.

Answer 16

whaat?

Answer 17

i leant this a totally different way ;P

Answer 18

OHHHH. I read your question wrong, I think. How long will it stay in the air. Smh.

Answer 19

yush

Answer 20

you must use the other equation, with the -b and the \[\pm\]

Answer 21

and the

Answer 22

thing

Answer 23

Quadratic formula? Idts. If I remember correctly...
When t = 0, initial point, the position function equals 0,
y(0) = -16(0)^2 + 233(0) = 0

I advise you to find the vertex of this function. The x-value will be the time it takes the water to reach its maximum height.

Multiply that time by 2 to get the total time the water will be in the air.

Answer 24

yeah that ;P

Answer 25

-b/2a

Answer 26

7.28125 ;3

Answer 27

is the vertex

Answer 28

Right, is the x-value of the vertex, which is the same as the time it'll take to get there. Then multiply by 2, you'll get the total time. :D

Answer 29

uhhh ok ;3

Answer 30

14.5625?

Answer 31

but but....

Answer 32

Yes. :) Use a graphing utility to verify the vertex is indeed at that point. :3

Answer 33

yeah

Answer 34

so what shall i do...hmmmmmmm

Answer 35

??

Answer 36

?????

Answer 37

i have no idea of any 'graphing technology' which i can use ;P

Answer 38

What shall you do? Lol

Answer 39

Ohh, it's ok. I just verified it. xD

Answer 40

oh ok

Answer 41

i need to find the x-axis's of the thing ;P which i forgot how to do, other than the tiresome way using the table ;3

Answer 42

I don't think I understand what you're saying lolol

Answer 43

Use the graphing technology of your choice to graph the above equation and determine the x-intercept values. Set rounding to 5 places. Save a copy of this graph and paste or attach it to this Worksheet.

Answer 44

there ;3

Answer 45

.............

Answer 46

Omgg. You know what. The x-intercepts would actually give you the same answer. .-.
I'm a knucklehead.
Sorry for making this more complicated. :3

Answer 47

uhhhhhhu ;P

Answer 48

i stilly dunno

Answer 49

.....

Answer 50

@aaronq

Answer 51

oh you're back ;3

Answer 52

Oh, using a graphing calculator? Ehh. I don't think I'm good at explaining that at all, lol. I'm not too great at using the graphing utilities myself.

Answer 53

lol

Answer 54

@aaronq

Answer 55

@Hero