La ecuación escalar que utilizaremos para determinar la distancia en un movimiento rectilíneo uniformemente variado(MRUV) es:
[tex]\begin{array}{c}\begin{array}{c}\boxed{\hphantom{A}\underset{\vphantom{.}}{\overset{\vphantom{A}}{\sf{d = v_ot \pm \dfrac{at^2}{2}}}}\hphantom{A}}\end{array}\\\\\begin{array}{c}\sf{Donde}\end{array}\\\\\begin{array}{llllllll}\sf{\circledast\quad v_o:Rapidez\ inicial}&&&&&&&\sf{\circledast\quad t:Tiempo}\\&\\\sf{\circledast\quad a:Aceleraci\acute{o}n}&&&&&&&\sf{\circledast\quad d:Distancia}\end{array}\end{array}[/tex]
⚠ El signo positivo se utiliza cuando el móvil acelera, mientras que el negativo cuando desacelera.
Extraemos los datos del enunciado
[tex]\begin{array}{ccccccccccc}\sf{\boldsymbol{\bigcirc \kern-8pt\triangleright}\ \ \ v_o=15\ m/s}&&&&&\sf{\boldsymbol{\bigcirc \kern-8pt\triangleright}\ \ \ t=4\ s}&&&&&\sf{\boldsymbol{\bigcirc \kern-8pt\triangleright}\ \ \ a=5\ m/s^2}\end{array}[/tex]
Reemplazamos estos valores en la ecuación escalar
[tex]\begin{array}{c}\mathsf{d = v_{o}t + \dfrac{at^2}{2}}\\\\\\\mathsf{d = (15)(4)+\dfrac{(5)(4)^2}{2}}\\\\\\\mathsf{d = (60) + \dfrac{(5)(16)}{2}}\\\\\\\mathsf{d = (60) + \dfrac{80}{2}}\\\\\\\mathsf{d = 60 + 40}\\\\\\\mathsf{\boxed{\boldsymbol{\boxed{\mathsf{d = 100\:m}}}}}\end{array}[/tex]
Rpta. La combi recorre 100 metros.
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