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.

Question

anonymous · Answer

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).


 1.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.

Motor A Speed 190
Motor B Speed 210
Motor C Speed 230
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 =

anonymous · Answer

if $s=0$ then $y = –16x^2 + vx + s=y = –16x^2 + vx$

anonymous · Answer

first one would be 
$$y = –16x^2 + 190x $$