A particle is given velocity `3 m//s` along the positive x-axis subjected to constant accelaration `4 m//s^(2)` along the positive y-axis. Find the distaplacement of the particle in `2 s` and trajectory followed by the particle.

Explanation

To solve the problem step by step, we will calculate the displacement of the particle after 2 seconds and determine the trajectory it follows.

### Step 1: Identify the initial conditions
- Initial velocity along the x-axis, \( u_x = 3 \, \text{m/s} \)
- Initial velocity along the y-axis, \( u_y = 0 \, \text{m/s} \) (since there is no initial velocity in the y-direction)
- Acceleration along the y-axis, \( a_y = 4 \, \text{m/s}^2 \)
- Time, \( t = 2 \, \text{s} \)

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