The velocity of particle is `v=v_(0)+"gt"+ft^(2)`. If its position is `x=0` at `t=0` then its displacement after unit time `(t=1)` is

Options

A. `v_(0)+2g+3f`
B. `v_(0)+g/2+f/3`
C. `v_(0)+g+f`
D. `v_(0)+g/2+f`

Explanation

To solve the problem, we need to find the displacement of the particle after 1 second given its velocity function and initial conditions.

### Step-by-Step Solution:

1. **Understand the given information**:
- The velocity of the particle is given by the equation:
\[
v = v_0 + gt + ft^2
...