If the displacement of a particle is proportional to the square of time, then-

Options

A. velocity is inversely proportional to t
B. velocity is proportional to t
C. velocity is proportional to` sqrt(t)`
D. acceleration is constant

Explanation

To solve the problem, we need to analyze the relationship between displacement, velocity, and acceleration when the displacement of a particle is proportional to the square of time.

### Step-by-Step Solution:

1. **Understanding the Relationship**:
- Given that the displacement \( s \) of a particle is proportional to the square of time \( t \), we can express this mathematically as:
\[
s = k t^2
...