Question

5. Determine a posição inicial e a velocidade para cada uma das seguintes funções no SI:
a) S=50 + 3t
b) S= 30 - 2t
c) S=5t​

Answer 1

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$\LARGE\green{\boxed{\rm~~~\red{ 5)~A)}~\blue{ 50~[m]~e~3~[m/s]}~~~}}$

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$\Large\green{\boxed{\rm~~~\red{ 5)~B)}~\blue{ 30~[m]~e~-2~[m/s]}~~~}}$

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$\LARGE\green{\boxed{\rm~~~\red{ 5)~C)}~\blue{ 0~[m]~e~5~[m/s]}~~~}}$

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$\green{\rm\underline{EXPLICAC_{\!\!\!,}\tilde{A}O\ PASSO{-}A{-}PASSO\ \ \ }}$✍

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☺lá, Ana, como tens passado nestes tempos de quarentena⁉ E os estudos à distância, como vão⁉ Espero que bem❗ Acompanhe a resolução abaixo. ✌

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☔ Inicialmente vamos analisar a estrutura da equação do sorvetão (a função horária para a posição em regimes de M.U.V.)

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$\large\red{\boxed{\pink{\boxed{\begin{array}{rcl}&&\\&\orange{\sf S(t) = S_0 + V_0 \cdot t + \dfrac{a_0 \cdot t^2}{2}}&\\&&\\\end{array}}}}}$

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$\text{\pink{ \Longrightarrow }~\Large\sf\orange{ \sf S_0 }}$ sendo a posição inicial do objeto [m];

$\text{\pink{ \Longrightarrow }~\Large\sf\orange{ \sf V_0 }}$ sendo a velocidade inicial do objeto [m/s];

$\text{\pink{ \Longrightarrow }~\Large\sf\orange{t}}$ sendo o instante analisado [s];

$\text{\pink{ \Longrightarrow }~\Large\sf\orange{a}}$ sendo a aceleração do objeto [m/s²].

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Ⓐ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\LARGE\gray{\boxed{\sf\blue{~~S = 50 + 3t~~}}}$

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➡ $\large\blue{\sf S_0 = 50~m }$

➡ $\large\blue{\sf V_0 = 3~m/s }$

➡ $\large\blue{\sf a = 0~m/s^2 }$

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$\LARGE\green{\boxed{\rm~~~\red{ A)}~\blue{ 50~[m]~e~3~[m/s]}~~~}}$ ✅

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Ⓑ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\LARGE\gray{\boxed{\sf\blue{~~S = 30 - 2t~~}}}$

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➡ $\large\blue{\sf S_0 = 30~m }$

➡ $\large\blue{\sf V_0 = -2~m/s }$

➡ $\large\blue{\sf a = 0~m/s^2 }$

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$\Large\green{\boxed{\rm~~~\red{ B)}~\blue{ 30~[m]~e~-2~[m/s]}~~~}}$✅

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Ⓒ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\LARGE\gray{\boxed{\sf\blue{~~S = 5t~~}}}$

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➡ $\large\blue{\sf S_0 = 0~m }$

➡ $\large\blue{\sf V_0 = 5~m/s }$

➡ $\large\blue{\sf a = 0~m/s^2 }$

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$\LARGE\green{\boxed{\rm~~~\red{ C)}~\blue{ 0~[m]~e~5~[m/s]}~~~}}$ ✅

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$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}$☁

☕ $\bf\Large\blue{Bons\ estudos.}$

($\orange{D\acute{u}vidas\ nos\ coment\acute{a}rios}$) ☄

$\bf\large\red{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \quad }}\LaTeX$✍

❄☃ $\sf(\gray{+}~\red{cores}~\blue{com}~\pink{o}~\orange{App}~\green{Brainly})$ ☘☀

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$\gray{"Absque~sudore~et~labore~nullum~opus~perfectum~est."}$