Answer:
y(0) = 0.25 feet
Step-by-step explanation:
We are given the following information in the question:
The displacement from equilibrium of an oscillating weight suspended by a spring =
where y is the displacement in feet and t is the time in seconds.
Here, cos is in radians.
1) t = 0
y(0) = 0.25 feet
2) t = 
3) t = 
The negative sign indicates the opposite direction of displacement.
When the football is 81 feet high, it will be √ 3 / 8 seconds
<h3>Function</h3>
Function relates input to output. Therefore,
Therefore,
t = number of seconds
h(t) = - 16t² + 75
h(t) = 81 ft
Therefore,
81 = - 16t² + 75
- 16t² = 81 - 75
- 16t² = 6
divide both sides by -16
t² = 6 / -16
t² = - 3 / 8
square root both sides
t = √ 3 / 8 seconds
learn more on function here: brainly.com/question/4418459
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