Based on the height of the ball suspended from a spring, the height of the ball at equilibrium is K feet.
The model for the height of the ball when it is suspended from a spring is shown as:
= aSin(b ( t - h)) + k
Given this, we can infer the value of h by looking at the general form of the Sin function which is:
y = Asin(Bx) + c
In the above:
A = amplitude
B = (2 x pi) / Period
C = midline
Comparing the function and the general Sin function, we notice that:
C = K
If C = K then it means that K is the height of the ball at its equilibrium because C as the midline represents the equilibrium height.
In conclusion, the height of the ball at equilibrium is K feet.
Find out more on a ball's equilibrium height at https://brainly.com/question/15627638
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