Calculating Average Velocity in Spring-Mass System

[UrbanXrisis]

A spring-mass system moves according to the position function x(t)=Asint. What is the average velocty in the period 0<=t<=2s?

so the velocity is v(t)=A \omega cost
how would I calculate the average velocity?

\frac{A \omega cost |^2_0}{2} ??

 

[dextercioby]

Definition for the average velocity

\bar{v}_{T}=\frac{1}{T}\int_{0}^{T} v(t) \ dt


Daniel.

 

[UrbanXrisis]

I get:
\frac{\int_0^2Acost}{2}
\frac{Acos2-A}{2}

 

[dextercioby]

\int \cos t \ dt =\sin t +C

Daniel.