The radius vector of a particle varies with time t as `vecr=vecbt(1-alphat)` is a constant vector and a is a positive factor.Find the distance s covered before the particle comes to rest

Explanation

To find the distance \( s \) covered by the particle before it comes to rest, we will follow these steps:

### Step 1: Write down the radius vector equation
The radius vector of the particle is given by:
\[ \vec{r} = \vec{b} t (1 - \alpha t) \]
where \( \vec{b} \) is a constant vector and \( \alpha \) is a positive constant.
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