Question

Please help me work through this its a bit complicated, thank you!

Answer 1

To find the speed based on the position function, you have to derivate the function in terms of time (x)

`\begin{gathered} f^(\prime)(x)=v(x)=11+22cos(x) \\ \end{gathered}`
`\begin{gathered} v(x)=0=11+22cos(x) \\ -11=22cos(x) \\ -0.5=cos(x) \\ x=(2)/(3)\pi \end{gathered}`
`\begin{gathered} f(x)=11x+22sin(x) \\ f(x)=11((2)/(3)\pi)+22sin((2)/(3)\pi) \\ f(x)=(22)/(3)\pi+19.0526 \\ f(x)=42.09m \end{gathered}`