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3 years ago

Solve -8x < 2. A- B C D

Mathematics

1 answer:

Anarel [89]3 years ago

4 0

-8x <2

-8x÷2=4x

4× > 1

hope it helps

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An object falls freely in a straight line and experiences air resistance proportional to its? speed; this means its acceleration

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Answer:

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Step-by-step explanation:

given,

a(t) =- k v(t)

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time for deceleration = ?

a(t) =- k v(t)

$\dfrac{dv}{dt}= - kv$

$\dfrac{dv}{v}= - kdt$

integrating both side

$\int_{800}^{700}\dfrac{dv}{v}= - k\int dt$

$ln(\dfrac{7}{8})=-kt$

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since,

$v = v_1e^{-kt}$

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$\int ds= 800\int_0^t e^{-kt}dt$

$1400= -\dfrac{800}{k}[e^{-kt}-e^0]$

from equation 1

$k= -\dfrac{8}{14}[\dfrac{7}{8}-1]$

$k= \dfrac{1}{8}$

putting value of k in equation (1)

$t = -8ln(\dfrac{7}{8})$

t = 1.068 s

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