The acceleration of a particle moving rectilinear varies with the magnitude of its velocity as a =`-sqrt(v)`. Find its initial speed, if it stops after `t_0`=1 sec from starting.

Explanation

To solve the problem, we need to find the initial speed of a particle whose acceleration varies with velocity as \( a = -\sqrt{v} \) and stops after \( t_0 = 1 \) second.

### Step-by-Step Solution:

1. **Understanding the relationship between acceleration and velocity**:
The acceleration \( a \) can be expressed as the derivative of velocity \( v \) with respect to time \( t \):
\[
a = \frac{dv}{dt}
...