A solid body starts rotating about a stationary axis with an angular acceleration `alpha=(2.0xx10^(-2))t` ` rad//s^(2)` here `t` is in seconds. How soon after the beginning of rotation will the total acceleration vector of an arbitrary point of the body form an angle `theta=60^(@)` with its velocity vector?

Explanation

To solve the problem, we need to find the time \( t \) at which the total acceleration vector of a point on a rotating solid body forms an angle of \( 60^\circ \) with its velocity vector.

### Step-by-Step Solution:

1. **Understanding the Components of Acceleration**:
- The total acceleration \( \vec{a} \) of a point on the body can be divided into two components:
- Tangential acceleration \( a_t \)
- Centripetal (or radial) acceleration \( a_c \)
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