The angular acceleration of a wheel is `alpha=6.0t^(4)-4.0t^(2)`, with `alpha` in radians per second-squared and t in seconds. At time t = 0, the wheel has an angular velocity of +2.5 rad/s and an angular position of +1.5 rad. Write expressions for (a) the angular velocity (rad/s) and (b) the angular position (rad) as functions of time (s).

Explanation

To solve the problem, we need to derive expressions for the angular velocity and angular position of the wheel as functions of time based on the given angular acceleration.

### Given:
- Angular acceleration: \(\alpha(t) = 6.0 t^4 - 4.0 t^2\) (in rad/s²)
- Initial angular velocity: \(\omega(0) = 2.5\) rad/s
- Initial angular position: \(\theta(0) = 1.5\) rad

### (a) Finding the Angular Velocity \(\omega(t)\)
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