Answer:(5/4,0)
Step-by-step explanation:
Answer:
y= 8(x-5)² + 6
Step-by-step explanation:
Parabolas have two equation forms, namely; the standard and vertex form.
In the vertex form, y = a(x - h)² + k, the variables h and k are the coordinates of the parabola's vertex.
In this case; a=8, h =5, and k=6
Therefore;
The vertex equation will be
y= 8(x-5)² + 6
2.5 is the geometric mean
To solve this we are going to use the formula fro the force applied to a spring:

where

is the spring constant

is the extension
Since we know the

, we can replace that in our formula and solve for

:


where

is the acceleration

is the spring constant

is the extension

is the mass
We know for our problem that

,

, and

. So lets replace those values in our formula to find

:



We can conclude that the acceleration of the block when s=0.4m is

.
Step-by-step explanation:
1.)

2.)

3.)
