Question

4 - A posição de uma bicicleta varia com o tempo segundo a função s = 32 + 4t (SI)
Determine:
a) a posição inicial.
b) sua velocidade
C) sua posição no instante 8s.
d) o instante correspondente à posição 120m​

Answer 1

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$\huge\green{\boxed{\rm~~~\red{ 4)~A)}~\gray{s_{0}}~\pink{=}~\blue{ 32~[m]}~~~}}$

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$\huge\green{\boxed{\rm~~~\red{ 4)~B)}~\gray{v}~\pink{=}~\blue{ 4~[m/s]}~~~}}$

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$\huge\green{\boxed{\rm~~~\red{ 4)~C)}~\gray{s(8)}~\pink{=}~\blue{ 64~[m]}~~~}}$

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$\huge\green{\boxed{\rm~~~\red{ 4)~D)}~\gray{t}~\pink{=}~\blue{22~[s]  }~~~}}$

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$\bf\large\green{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad}}$

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

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

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☺lá novamente, Simone. Vamos a mais um exercício❗ Acompanhe a resolução abaixo. ✌

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☔ Temos que a equação horária geral para a posição é da forma

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$\LARGE\red{\boxed{\pink{\boxed{\begin{array}{rcl}&&\\&\orange{\sf s(t) = s_0 + v \cdot t}&\\&&\\\end{array}}}}}$

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$\text{\pink{ \Longrightarrow }~\Large\sf\orange{s(t)}}$ sendo a posição do objeto no instante t [m];

$\text{\pink{ \Longrightarrow }~\Large\sf\orange{ \sf s_{0} }}$ sendo a posição inicial do objeto [m];

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

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

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☔ Comparando com a equação dada no enunciado extraímos que

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➡ $\large\blue{\sf s_{0} = 32~m }$

➡ $\large\blue{\sf v = 4~m/s }$

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

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$\huge\green{\boxed{\rm~~~\gray{s_{0}}~\pink{=}~\blue{ 32~[m]}~~~}}$ ✅

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

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$\huge\green{\boxed{\rm~~~\gray{v}~\pink{=}~\blue{ 4~[m/s]}~~~}}$ ✅

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

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➡ $\large\blue{\sf s(8) = 32 + 4 \cdot 8 }$

$\large\blue{\sf = 32 + 32 }$

$\large\blue{\sf = 64 }$

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$\huge\green{\boxed{\rm~~~\gray{s(8)}~\pink{=}~\blue{ 64~[m]}~~~}}$ ✅

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

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➡ $\large\blue{\sf 120 = 32 + 4 \cdot t }$

➡ $\large\blue{\sf 120 - 32 = 4 \cdot t }$

➡ $\large\blue{\sf 88 = 4 \cdot t }$

➡ $\large\blue{\sf t = \dfrac{88}{4} }$

➡ $\large\blue{\sf t = 22 }$

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$\huge\green{\boxed{\rm~~~\gray{t}~\pink{=}~\blue{22~[s]  }~~~}}$ ✅

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