A particle of mass `2 kg` is moving with velocity `vec(v)_(0) = (2hat(i)-3hat(j))m//s` in free space. Find its velocity `3s` after a constant force `vec(F)= (3hat(i) + 4hat(j))N` starts acting on it.

Explanation

To solve the problem step by step, we will use the concepts of impulse and momentum.

### Step 1: Identify the given values
- Mass of the particle, \( m = 2 \, \text{kg} \)
- Initial velocity, \( \vec{v}_0 = 2 \hat{i} - 3 \hat{j} \, \text{m/s} \)
- Force acting on the particle, \( \vec{F} = 3 \hat{i} + 4 \hat{j} \, \text{N} \)
- Time duration, \( t = 3 \, \text{s} \)

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