Question

a(t)=3/t square+2/t+t+2 find v(t) if v(t)=2m/s by using intergrastion

Answer 1

$a(t) = \frac{3}{ {t}^{2} } + \frac{2}{t } + t + 2 = {v}^{ 1} (t)$
$v(t) = integral{ \: a(t) \: }$
$v(x)=3\times \frac{ {x}^{ - 2 + 1} }{ - 2 + 1} + ln(x ) + \frac{ {x}^{1 + 1} }{1 + 1} + 2x + c$
$v(x)= { - 3x}^{ - 1} + ln(x ) + \frac{ {x}^{2} }{2} + 2x + c$
$v(x)= \frac{ {x}^{2} }{2} + 2x - \frac{3}{x} + ln(x ) + c$