A particle starts from rest and moves under constant acceleration in a straight line. Find the ratio of displacement (a) in successive second and (b) in successive time interval `t_(0)`.

Explanation

To solve the problem, we need to find the displacement of a particle moving under constant acceleration in two different scenarios: (a) in successive seconds and (b) in successive time intervals.

### Part (a): Displacement in Successive Seconds

1. **Understanding the Formula**:
The displacement \( s_n \) in the nth second can be calculated using the formula:
\[
s_n = u + \frac{1}{2} a (2n - 1)
...