Exercise $6$

Given the velocity function $of$ a particle $tobe$

$v(t)=-4e^{-2}t-2$

Find the position function, $s(t),$ that describes where the particle will $beat$ time $tin$ microseconds $(s).$

Given that $s(0)=0$ microns $(m),$ find $s(6s).$

Given the velocity function $of$ a particle $tobe$

$v(t)=-4e^{-2t}-2$

$a.$ Find the position function, $s(t),$ that describes where the particle will $beat$ time $tin$ microseconds

$(us).$

$b.$ Given that $s_0=0$ microns $(m),$ find $s_{6s}.$