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.