The acceleration a of a particle starting from rest varies with time according to relation, `a=alphat+beta`. Find the velocity of the particle at time instant t.
Strategy : `a=(dv)/(dt)`

Explanation

To find the velocity of a particle at time \( t \) given that its acceleration varies with time according to the relation \( a = \alpha t + \beta \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between acceleration and velocity**:
The acceleration \( a \) is defined as the rate of change of velocity with respect to time:
\[
a = \frac{dv}{dt}
...