3 years ago

I NEED HELP ASAP!!PLEASE HELP ME WITH MY MATH!

Mathematics

1 answer:

gtnhenbr [62]3 years ago

6 0

Answer:

A. -2, 9

B. -2, 4

C. -8, 4

D. -8, 9

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Answer:

increase

Step-by-step explanation:

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5-4 = 1

1/4 = .25

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If the acceleration of an object is given by dv/dt = −2v, Find the position function s(t) if v(0) = 7 and s(0) = 0.

kirill [66]

Answer:

Step-by-step explanation:

Given that acceleration of an object is

$\frac{dv}{dt} =-2v\\\frac{dv}{v} =-2dt\\ln v = -2t+C\\$

is the solution to the differential equation

Since v(0) =7

we get ln 7 = C

Hence $lnv = -2t+ln 7\\v=7e^{-2t}$

since velocity is rate of change of distance s we have

$v=\frac{ds}{dt} =7e^{-2t}\\s= [tex]s(t) =\frac{-7}{2} (e^{-2t})+C)[$

substitute t=0 and s=0

$C=7/2$

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$s(t) =\frac{-7}{2} (e^{-2t}-1)$

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3 years ago

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Sergio [31]

The correct answer is A

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2 years ago