Derivata

$$\begin{gathered} v=s^{\text{'}}\left(t\right)=\frac{3000}{20}\mathrm{\pi cos}\left(\frac{\mathrm{\pi t}}{20}\right)=150\mathrm{\pi } \cos \left(\frac{\mathrm{\pi t}}{20}\right) \\ \mathrm{a}) \mathrm{v}(0)={\mathrm{s}}^{\text{'}}(0)=150\mathrm{\pi } \\ \mathrm{b}) \mathrm{v}\left(1\right)={\mathrm{s}}^{\text{'}}\left(1\right)=150\mathrm{\pi } \cos \left(\frac{\mathrm{\pi }}{20}\right)=148\mathrm{\pi } \\ \mathrm{osv}. \end{gathered}$$

alireza6231 skrev :

$$\begin{gathered} v=s^{\text{'}}\left(t\right)=\frac{3000}{20}\mathrm{\pi cos}\left(\frac{\mathrm{\pi t}}{20}\right)=150\mathrm{\pi } \cos \left(\frac{\mathrm{\pi t}}{20}\right) \\ \mathrm{a}) \mathrm{v}(0)={\mathrm{s}}^{\text{'}}(0)=150\mathrm{\pi } \\ \mathrm{b}) \mathrm{v}\left(1\right)={\mathrm{s}}^{\text{'}}\left(1\right)=150\mathrm{\pi } \cos \left(\frac{\mathrm{\pi }}{20}\right)=148\mathrm{\pi } \\ \mathrm{osv}. \end{gathered}$$

Jag gjorde exakt på samma sätt men det står helt annat på facit :/

a)$$\begin{gathered} 150\mathrm{\pi } \raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$min$}\right.=7,85\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s :)$}\right. \\ osv \end{gathered}$$

alireza6231 skrev :

a)$$\begin{gathered} 150\mathrm{\pi } \raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$min$}\right.=7,85\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s :)$}\right. \\ osv \end{gathered}$$

haha :D glömde bort den lilla detaljen! Tack så mycket! Du anar inte hur mycket tid jag slössade på det :D