Problem $5$

A baseball has mass $155$ g and radius $3\mathrm{.}5$ cm $.$ The ball is moving through the air at high speed, so air resistance is important. The density of the air is $1\mathrm{.}3k\frac{g}{m^3},$ and the bluntness coefficient is $C=0\mathrm{.}35.$ At a certain instant the baseball's position is $($:$25\mathrm{.}00,12\mathrm{.}00,3\mathrm{.}00$:$)m$ and its velocity is $($:$40\mathrm{.}00,30\mathrm{.}00,0$:$)\frac{m}{s}.$ At a time $0\mathrm{.}1$ s later, what is the baseball's velocity? $($One computational step is sufficient.$)$