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x=(1/4)sv^2 In the formula shown, if x/s = 25 and v > 0, what is the v

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GMAT 1: 670 Q46 V36
x=(1/4)sv^2 In the formula shown, if x/s = 25 and v > 0, what is the v  [#permalink]

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New post 25 Aug 2018, 08:47
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x=(1/4)sv^2
In the formula shown, if x/s = 25 and v > 0, what is the value of v ?

A) 9
B) 10
C) 11
D) 29
E) 100
Spoiler: OA

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Re: x=(1/4)sv^2 In the formula shown, if x/s = 25 and v > 0, what is the v  [#permalink]

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New post 25 Aug 2018, 09:37
dabaobao wrote:
x=(1/4)sv^2
In the formula shown, if x/s = 25 and v > 0, what is the value of v ?

A) 9
B) 10
C) 11
D) 29
E) 100


x = \(\frac{sv^2}{4}\)
also
x=25s
substituting the values
25s=\(\frac{sv^2}{4}\)
v^2=100
v=10
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Re: x=(1/4)sv^2 In the formula shown, if x/s = 25 and v > 0, what is the v  [#permalink]

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New post 25 Aug 2018, 10:07
dabaobao wrote:
x=(1/4)sv^2
In the formula shown, if x/s = 25 and v > 0, what is the value of v ?

A) 9
B) 10
C) 11
D) 29
E) 100

\(x=(\frac{1}{4})sv^2\)

Or, \(\frac{x}{s} = (\frac{1}{4})v^2\)

Or, \(25 = (\frac{v^2}{4})\)

Or, \(v^2 = 100\)

So, \(v = 10\) , as \(v > 0\) , Answer must be (B)
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Re: x=(1/4)sv^2 In the formula shown, if x/s = 25 and v > 0, what is the v &nbs [#permalink] 25 Aug 2018, 10:07
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