Question

I really need help with this project because my teacher is out of the office today and I can't ask her any questions.

Imagine you are a fountain designer and you need to know how different speed motors will affect the water’s projected height and time in the air. You have various motor speed options but need to choose the one that most closely meets the client’s height request of 690 feet. Your job is to determine which motor speed is the best choice. In all cases, you will use the projectile formula
y = –16x2 + vx + s, with starting height of 0 (s = 0).

Answer 1

Motor A speed= 190 feet per second

Motor B speed= 210 feet per second

Motor C seed= 230 feet per second

Answer 2

Substitute the data provided for speed (v) and starting heights (s) into their proper positions in the formula
y = –16x2 + vx + s and write the equation corresponding with each motor in the space provided below.
Then identify the a, b, and c values for each where indicated. (6 points total, 2 points each)
The equation for motor A is:
a =
b =
c =

The equation for motor B is:
a =
b =
c =

The equation for motor C is:
a =
b =
c =

Answer 3

OK, so have you found the max height for each?

Answer 4

They give you:
\(y = –16x^2 + vx + s\), and \(s = 0\)

So what do you get when you put that with the different speeds?

Answer 5

So you would substitute the different speeds in where v is correct?

Answer 6

Yes. The v is velocity.

Answer 7

So y = –16x2 + (190)x + 0

Answer 8

Ok so a=-16, b=190, and c=0 right?

Answer 9

Yes.

Answer 10

And what you want in the end is the point where \(\Delta y=0\) or the max height, so it is not changing in y any more at that moment.

Answer 11

And you lost me...

Answer 12

Typical parabolic curve: