Physics - Fluid Question with Solution | TestHub

Badminton shuttlecock has a mass of $\mathrm{m}=5\mathrm{g}$ and cross-sectional area $\mathrm{S}=30{\mathrm{cm}}^2$. When moving in air with speed v , the shuttle experiences a force resistance directed against velocity and equal to $\mathrm{F}=5/3\times 10^{-2}{\mathrm{v}}^2\mathrm{r}$, where $\mathrm{r}=1\mathrm{kg}/{\mathrm{m}}^3$ is the air density. After being hit by a racket, the shuttlecock acquired a vertical speed of 20 m/s and reached a maximum height H.