A particle starts with a velocity of `2m//s` and moves in a straight line with a retardation of `0.1m//s^(2)`. The time that it takes to describe `15m` is

Options

A. `10s` in its backward journey
B. `30s` in its forward journey
C. `10s` in its forward journey
D. `30s` in its backward journey

Explanation

To solve the problem step by step, we will use the equations of motion. The particle starts with an initial velocity and moves with a retardation (negative acceleration). We need to find the time it takes to travel a distance of 15 meters.

### Step 1: Identify the given values
- Initial velocity (u) = 2 m/s
- Retardation (a) = -0.1 m/s² (negative because it is retardation)
- Distance (s) = 15 m

### Step 2: Use the second equation of motion
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