A particle is moving along the x-axis such that `s=6t-t^(2)`, where s in meters and t is in second. Find the displacement and distance traveled by the particle during time interval `t=0` to `t=5 s`.

Explanation

To solve the problem, we need to find both the displacement and the distance traveled by the particle during the time interval from \( t = 0 \) to \( t = 5 \) seconds, given the displacement function \( s = 6t - t^2 \).

### Step-by-Step Solution:

1. **Find Displacement at \( t = 0 \)**:
\[ s(0) = 6(0) - (0)^2 = 0 \text{ meters} \]
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