Un carro acelera desde el reposo a 4 m/s2. Cual es la distancia que recorre en 4 s.​

<div class="athena_tag_tk_ques_text_content" data-testid="answer_box_text"><h2>La distancia recorrida por el carro al cabo de 4 segundos es de 32 metros</h2><p><strong></strong></p><p><strong>Datos:</strong></p><p><img align="absmiddle" alt="\bold{V_{0} = 0 \ \frac{m}{s} }" class="athena_tag_latex_mark" id="TexFormula1" src="https://hw-cdn.snapquiz.net/seahk_e55135950d090d11f804d9d0cba3e124.jpg" title="\bold{V_{0} = 0 \ \frac{m}{s} }"/></p><p><img align="absmiddle" alt="\bold{a = 4 \ \frac{m}{s^{2} } }" class="athena_tag_latex_mark" id="TexFormula2" src="https://hw-cdn.snapquiz.net/seahk_3e326ca40726f9e1da5bec33f07e8bb8.jpg" title="\bold{a = 4 \ \frac{m}{s^{2} } }"/></p><p><img align="absmiddle" alt="\bold{t = 4 \ s }" class="athena_tag_latex_mark" id="TexFormula3" src="https://hw-cdn.snapquiz.net/seahk_c857e7f89905fcedf917bad543eb5519.jpg" title="\bold{t = 4 \ s }"/></p><p></p><h3><u>Calculamos la distancia recorrida por el carro al cabo de 4 segundos</u></h3><h3>Empleamos la siguiente ecuación de MRUV</h3><p><img align="absmiddle" alt="\large\boxed {\bold { d = V_{0}\cdot t + \frac{1}{2} \ a \cdot t^{2} }}" class="athena_tag_latex_mark" id="TexFormula4" src="https://hw-cdn.snapquiz.net/seahk_99bb2382dbc8e48f9e8709618490aa21.jpg" title="\large\boxed {\bold { d = V_{0}\cdot t + \frac{1}{2} \ a \cdot t^{2} }}"/></p><p><strong>Donde</strong></p><p><img align="absmiddle" alt="\bold { d } \ \ \ \ \ \ \ \ \textsf{ Es la distancia }" class="athena_tag_latex_mark" id="TexFormula5" src="https://hw-cdn.snapquiz.net/seahk_a14661e4bb184e577d14760184d3161d.jpg" title="\bold { d } \ \ \ \ \ \ \ \ \textsf{ Es la distancia }"/></p><p><img align="absmiddle" alt="\bold { V_{0}} \ \ \ \ \ \ \textsf{ Es la velocidad inicial }" class="athena_tag_latex_mark" id="TexFormula6" src="https://hw-cdn.snapquiz.net/seahk_6ecdbba63d950336e805e56344ee2538.jpg" title="\bold { V_{0}} \ \ \ \ \ \ \textsf{ Es la velocidad inicial }"/></p><p><img align="absmiddle" alt="\bold { t} \ \ \ \ \ \ \ \ \ \textsf{ Es el tiempo empleado}" class="athena_tag_latex_mark" id="TexFormula7" src="https://hw-cdn.snapquiz.net/seahk_b5541e492b92de2ab59fe1caf6476bda.jpg" title="\bold { t} \ \ \ \ \ \ \ \ \ \textsf{ Es el tiempo empleado}"/></p><p><img align="absmiddle" alt="\bold { a }\ \ \ \ \ \ \ \ \textsf{ Es la aceleraci\'on}" class="athena_tag_latex_mark" id="TexFormula8" src="https://hw-cdn.snapquiz.net/seahk_8a6efbc9f76fe586ba7c31fc20838444.jpg" title="\bold { a }\ \ \ \ \ \ \ \ \textsf{ Es la aceleraci\'on}"/></p><p>Como el <strong>carro parte del reposo</strong>, luego la <u><strong>velocidad inicial</strong></u> es <strong>igual a cero</strong>  <img align="absmiddle" alt="\bold {V_{0} = 0 }" class="athena_tag_latex_mark" id="TexFormula9" src="https://hw-cdn.snapquiz.net/seahk_37176baa5e4bea124e7688f4a6495e78.jpg" title="\bold {V_{0} = 0 }"/></p><p><img align="absmiddle" alt="\large\textsf{ Quedando la ecuaci\'on reducida a:}" class="athena_tag_latex_mark" id="TexFormula10" src="https://hw-cdn.snapquiz.net/seahk_e3614bea9c7c855e823feedbd54ed2b3.jpg" title="\large\textsf{ Quedando la ecuaci\'on reducida a:}"/></p><p><img align="absmiddle" alt="\large\boxed {\bold { d = \frac{1}{2} \ a \cdot t^{2} }}" class="athena_tag_latex_mark" id="TexFormula11" src="https://hw-cdn.snapquiz.net/seahk_f35f2404cdf1afe2db4e951928674da5.jpg" title="\large\boxed {\bold { d = \frac{1}{2} \ a \cdot t^{2} }}"/></p><p><img align="absmiddle" alt="\large\boxed {\bold { d = \frac{a \cdot t^{2} }{2} }}" class="athena_tag_latex_mark" id="TexFormula12" src="https://hw-cdn.snapquiz.net/seahk_ccf7334d4fd0934c57c7e96039f7500e.jpg" title="\large\boxed {\bold { d = \frac{a \cdot t^{2} }{2} }}"/></p><p><img align="absmiddle" alt="\large\textsf{ Reemplazamos valores y resolvemos }" class="athena_tag_latex_mark" id="TexFormula13" src="https://hw-cdn.snapquiz.net/seahk_572a97af9928ded16595f4069cce60a9.jpg" title="\large\textsf{ Reemplazamos valores y resolvemos }"/></p><p><img align="absmiddle" alt="\boxed {\bold { d = \frac{4 \ \frac{m}{s^{2} } \cdot (4 \ s)^{2} }{2} }}" class="athena_tag_latex_mark" id="TexFormula14" src="https://hw-cdn.snapquiz.net/seahk_989faedd5f0b4a850e35f1309f95b24c.jpg" title="\boxed {\bold { d = \frac{4 \ \frac{m}{s^{2} } \cdot (4 \ s)^{2} }{2} }}"/></p><p><img align="absmiddle" alt="\boxed {\bold { d = \frac{4\ \frac{m}{\not s^{2} } \cdot 16\not s^{2} }{2} }}" class="athena_tag_latex_mark" id="TexFormula15" src="https://hw-cdn.snapquiz.net/seahk_0e2e3c9a7949502a54ca58c8987a7c80.jpg" title="\boxed {\bold { d = \frac{4\ \frac{m}{\not s^{2} } \cdot 16\not s^{2} }{2} }}"/></p><p><img align="absmiddle" alt="\boxed {\bold { d = \frac{64}{2} \ m }}" class="athena_tag_latex_mark" id="TexFormula16" src="https://hw-cdn.snapquiz.net/seahk_8cb86293e941efea6bc1f8af959aac38.jpg" title="\boxed {\bold { d = \frac{64}{2} \ m }}"/></p><p><img align="absmiddle" alt="\large\boxed {\bold { d =32 \ metros }}" class="athena_tag_latex_mark" id="TexFormula17" src="https://hw-cdn.snapquiz.net/seahk_cd9521e6a240a383a68a84cf01e6cd6b.jpg" title="\large\boxed {\bold { d =32 \ metros }}"/></p><h3><u>La distancia recorrida por el carro en ese tiempo es de 32 metros</u></h3><p></p><h3>Aunque el enunciado no lo pida</h3><h3><u>Determinamos la velocidad que alcanza el carro al cabo de 4 segundos</u></h3><h3>Empleamos la siguiente ecuación de MRUV</h3><p><img align="absmiddle" alt="\large\boxed {\bold { V_{f} = V_{0} + a \cdot t }}" class="athena_tag_latex_mark" id="TexFormula18" src="https://hw-cdn.snapquiz.net/seahk_79815b9ebfd04fd55400e76ea7452e3d.jpg" title="\large\boxed {\bold { V_{f} = V_{0} + a \cdot t }}"/></p><p><strong>Donde</strong></p><p><img align="absmiddle" alt="\bold { V_{f} } \ \ \ \ \ \ \textsf{ Es la velocidad final }" class="athena_tag_latex_mark" id="TexFormula19" src="https://hw-cdn.snapquiz.net/seahk_89d6b66fd50d41ed4d8994b9e5289378.jpg" title="\bold { V_{f} } \ \ \ \ \ \ \textsf{ Es la velocidad final }"/></p><p><img align="absmiddle" alt="\bold { V_{0}} \ \ \ \ \ \ \textsf{ Es la velocidad inicial }" class="athena_tag_latex_mark" id="TexFormula20" src="https://hw-cdn.snapquiz.net/seahk_6ecdbba63d950336e805e56344ee2538.jpg" title="\bold { V_{0}} \ \ \ \ \ \ \textsf{ Es la velocidad inicial }"/></p><p><img align="absmiddle" alt="\bold { a }\ \ \ \ \ \ \ \ \textsf{ Es la aceleraci\'on}" class="athena_tag_latex_mark" id="TexFormula21" src="https://hw-cdn.snapquiz.net/seahk_8a6efbc9f76fe586ba7c31fc20838444.jpg" title="\bold { a }\ \ \ \ \ \ \ \ \textsf{ Es la aceleraci\'on}"/></p><p><img align="absmiddle" alt="\bold { t} \ \ \ \ \ \ \ \ \ \textsf{ Es el tiempo empleado }" class="athena_tag_latex_mark" id="TexFormula22" src="https://hw-cdn.snapquiz.net/seahk_b5541e492b92de2ab59fe1caf6476bda.jpg" title="\bold { t} \ \ \ \ \ \ \ \ \ \textsf{ Es el tiempo empleado }"/></p><p>Como el <strong>móvil parte del reposo</strong>, luego la <u><strong>velocidad inicial</strong></u> es <strong>igual a cero</strong>  <img align="absmiddle" alt="\bold {V_{0} = 0 }" class="athena_tag_latex_mark" id="TexFormula23" src="https://hw-cdn.snapquiz.net/seahk_37176baa5e4bea124e7688f4a6495e78.jpg" title="\bold {V_{0} = 0 }"/></p><p><img align="absmiddle" alt="\large\textsf{ Quedando la ecuaci\'on reducida a:}" class="athena_tag_latex_mark" id="TexFormula24" src="https://hw-cdn.snapquiz.net/seahk_e3614bea9c7c855e823feedbd54ed2b3.jpg" title="\large\textsf{ Quedando la ecuaci\'on reducida a:}"/></p><p><img align="absmiddle" alt="\large\boxed {\bold { V_{f} = a \cdot t }}" class="athena_tag_latex_mark" id="TexFormula25" src="https://hw-cdn.snapquiz.net/seahk_af849a6248dadd46a844f22f6213a7f0.jpg" title="\large\boxed {\bold { V_{f} = a \cdot t }}"/></p><p><img align="absmiddle" alt="\large\textsf{ Reemplazamos valores y resolvemos }" class="athena_tag_latex_mark" id="TexFormula26" src="https://hw-cdn.snapquiz.net/seahk_572a97af9928ded16595f4069cce60a9.jpg" title="\large\textsf{ Reemplazamos valores y resolvemos }"/></p><p><img align="absmiddle" alt="\boxed {\bold { V_{f} = 4\ \frac{m}{{s^{\not 2} } } \cdot 4 \not s }}" class="athena_tag_latex_mark" id="TexFormula27" src="https://hw-cdn.snapquiz.net/seahk_0c85508b4d79218f12f14008a131fe90.jpg" title="\boxed {\bold { V_{f} = 4\ \frac{m}{{s^{\not 2} } } \cdot 4 \not s }}"/></p><p><img align="absmiddle" alt="\large\boxed {\bold { V_{f} = 16 \ \frac{m}{s} }}" class="athena_tag_latex_mark" id="TexFormula28" src="https://hw-cdn.snapquiz.net/seahk_43a596d99f5e184902f81cf7147c4ea2.jpg" title="\large\boxed {\bold { V_{f} = 16 \ \frac{m}{s} }}"/></p><h3><u>La velocidad alcanzada por el carro al cabo de 4 segundos es de 16 metros por segundo (m/s)</u></h3></div>