The velocity of a particle is given by `v=v_(0) sin omegat`, where `v_(0)` is constant and `omega=2pi//T`. Find the average velocity in time interval `t=0 `to `t=T//2.`

Explanation

To find the average velocity of a particle given its velocity function, we can follow these steps:

### Step 1: Understand the Velocity Function
The velocity of the particle is given by:
\[ v(t) = v_0 \sin(\omega t) \]
where \( v_0 \) is a constant and \( \omega = \frac{2\pi}{T} \).

### Step 2: Set Up the Average Velocity Formula
...