The position vector of a particle at two points along its path is given along with the time taken to move from one point to other . Can we determine particle's instantaneous velocity and its average velocity using this data? Explain.

Explanation

To determine the average and instantaneous velocity of a particle given its position vectors at two points and the time taken to move between them, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Position Vectors**:
Let the position vector of the particle at point 1 be denoted as \( \mathbf{O_1} \) and at point 2 as \( \mathbf{O_2} \).

2. **Calculate the Displacement**:
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