Respuesta:
[tex]X(t) = \int v(t)dt \\ X(t) = \int(3t + 2)dt \\ X(t) = \frac{3}{2} {t}^{2} + 2t + c [/tex]
[tex]para \: t = 0 \: \: \: X(t) = 3 \\ \frac{3}{2} (0) {}^{2} + 2(0) + c = 3 \\ c = 3[/tex]
Luego, la posición para cualquier tiempo es:
[tex] X(t) = \frac{3}{2} {t}^{2} + 2t + 3 [/tex]
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Respuesta:
[tex]X(t) = \int v(t)dt \\ X(t) = \int(3t + 2)dt \\ X(t) = \frac{3}{2} {t}^{2} + 2t + c [/tex]
[tex]para \: t = 0 \: \: \: X(t) = 3 \\ \frac{3}{2} (0) {}^{2} + 2(0) + c = 3 \\ c = 3[/tex]
Luego, la posición para cualquier tiempo es:
[tex] X(t) = \frac{3}{2} {t}^{2} + 2t + 3 [/tex]