Question

PLEASE HELP DDD:

(vertex) x=-b/2a Use the graphing technology of your choice to graph the above equation and find the vertex value. Set rounding to 5 places. Save a copy of this graph and paste or attach it to this Worksheet.

Answer 1

I also have to figure out How long the water from your fountain will remain in the air. The fountain I chose is King Fahd fountain.

Answer 2

The coordinates are x=1, y=-4

Answer 3

would help to have the equation

Answer 4

Oh, sorry. y = -16x2 + 341.7 + 0

Answer 5

a =-16
b =341.73
c =0

Answer 6

ok so it looks like you are in good shape

Answer 7

Well that's good XD

Answer 8

\[\large \frac{-b}{2a}=\frac{341.7}{32}\]

Answer 9

Is this for the height of the fountain or for the graph?

Answer 10

where did the 341.7 come from?

Answer 11

If speed is given in miles per hour, follow the 2 step conversion process, showing your work below, to arrive at the number of feet per second.
Step 1: Multiply the miles per hour given by the number of feet in a mile.
Step 2: Divide the above feet per hour by the number of seconds in an hour.
Indicate the feet per second (velocity) of your fountain.
Feet per second (v) ≈ 341.7

Answer 12

is that the velocity of the water?

Answer 13

Yeah.

Answer 14

ok so then the maximum height will presumably occur when \(t=\frac{341.7}{32}=10.678125\)

Answer 15

I have 261 meters for the maximum height

Answer 16

You're probably right with what you have though

Answer 17

the height is given by \(h(t)=-16t^2+341.7t \) and so to find the max you need to compute
\[h(10.678125)=-16(10.67815)^2+3412.7\times 10.67815\]

Answer 18

ohh alright.

Answer 19

i had a typo there

Answer 20

Oh haha XD whoopsy

Answer 21

\[h(10.678125)=-16(10.67815)^2+341.7\times 10.67815\]

Answer 22

Okay!

Answer 23

So should I try to solve?

Answer 24

i get 1824 feet which is too large
according to wiki it is 1024 feet

Answer 25

Yeah I got that from Wiki :P

Answer 26

but you did do the conversion correctly, i just checked it

Answer 27

4000 cubic meters of water remain in the air aparently, but I don't think that helps us any.

Answer 28

Yay!

Answer 29

no water will have other forces acting on it, it is not like a ball being thrown up at that speed

Answer 30

also it says "can reach a speed of" so i wouldn't fret too much

Answer 31

Alright!

Answer 32

here is a nice picture, looks like the water stays in the air a little more than 22 seconds
you can solve exactly in two steps
http://www.wolframalpha.com/input/?i=-16%28x%29^2%2B341.7*x+domain+0+..+22

Answer 33

i mean a little more than 21 seconds

Answer 34

king fahad??!!

Answer 35

Yeah!

Answer 36

Hello?

Answer 37

yeah?

Answer 38

So is that the graph I need?

Answer 39

yes, that is a good graph i think

Answer 40

Yay! Thank you so much :D

Answer 41

yw