# Farthest Distance of Mass From Origin

Discussion in 'Geometry and Trigonometry' started by nycmathguy, Mar 4, 2022.

1. ### nycmathguy

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I say the mass is farthest from the origin at the point (8, 4).

t = 0, t = 2, t = 4, t = 6, and t = 8.

In other words, the even numbers in the interval
[0, 8].

Last edited: Mar 4, 2022
nycmathguy, Mar 4, 2022
2. ### MathLover1

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the point (8, 4) is correct

MathLover1, Mar 4, 2022
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3. ### nycmathguy

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The point (8,4) is correct. Are you saying that the textbook answer is wrong?

nycmathguy, Mar 5, 2022
4. ### MathLover1

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MathLover1, Mar 5, 2022
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5. ### nycmathguy

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Is the mass farthest from the origin for all even numbers between 0 and 8?

If the point (0, 8) is truly farthest from the origin, then what's the purpose for listing even number values of t on the interval [0, 8]?

nycmathguy, Mar 5, 2022
6. ### MathLover1

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if you convert the interval [0, 8] to an inequality, then you use the inequality to build a set
$${x| 0≤x≤8}$$

so, all even numbers between $$0$$ and $$8$$

MathLover1, Mar 5, 2022
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7. ### nycmathguy

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Ok. Larson does not say that at all. I guess he assumes precalculus students know this fact already. If my roommate does not come home tonight, I will post one more SHM problem with 5 parts.

nycmathguy, Mar 5, 2022