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Volgvan
3 years ago
6

Can someone help me with this simple math problem, you can easily get points if you know the answer correctly. Also I will mark

whoever can answer this correctly brainest or whatever you call it. -Thank You

Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
8 0

Answer:

RATIONAL

Step-by-step explanation:

Alekssandra [29.7K]3 years ago
4 0

Answer:

NOT RATIONAL

Step-by-step explanation:

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My Notes The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t) = 1 4 cos(5t) where y
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Answer:

y(0) = 0.25 feet

y(\frac{1}{4}) = 0.0789 \text{ feet}

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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 =

y(t) = \displaystyle\frac{1}{4} \cos(5t)

where y is the displacement in feet and t is the time in seconds.

Here, cos is in radians.

1) t = 0

y(0) = \displaystyle\frac{1}{4} \cos(5(0)) = \frac{1}{4} \cos(0) = \frac{1}{4}(1) = \frac{1}{4}

y(0) = 0.25 feet

2) t = \frac{1}{4}

y(\displaystyle\frac{1}{4}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{4})) = \frac{1}{4} \cos(1.25) = \frac{1}{4}(0.31532236) =0.07883059

y(\frac{1}{4}) = 0.0789 \text{ feet}

3) t = \frac{1}{2}

y(\displaystyle\frac{1}{2}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{2})) = \frac{1}{4} \cos(2.5) = \frac{1}{4}(-0.80114362) = -0.200285905

y(\frac{1}{2}) =-0.2003 \text{ feet}

The negative sign indicates the opposite direction of displacement.

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