The acceleration of a particle which is depend on time is given by following function a = 2t + 1 and at time t = 0, x = 1m and ui = 2m/s. Then find out displacement of the particle at t = 3 sec.

Explanation

To solve the problem, we need to find the displacement of a particle given its acceleration as a function of time, initial position, and initial velocity. Here’s a step-by-step solution:

### Step 1: Understand the given information
- Acceleration \( a(t) = 2t + 1 \)
- Initial position \( x(0) = 1 \, \text{m} \)
- Initial velocity \( u = 2 \, \text{m/s} \)
- Time \( t = 3 \, \text{s} \)

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