A particle is moving along x-axis. The position of the particle at any instant is given by ` x= a+bt^(2) ` where ,a= 6 m and b= 3.5 `ms^(-2) ` 't' is measured in second .Find
(i) the velocity of the particle at 1s and
(ii) the average velocity between 3s and 6s

Explanation

To solve the problem step by step, we will first find the velocity of the particle at 1 second and then calculate the average velocity between 3 seconds and 6 seconds.

### Step 1: Write down the position function
The position of the particle is given by:
\[ x(t) = a + bt^2 \]
where \( a = 6 \, \text{m} \) and \( b = 3.5 \, \text{ms}^{-2} \).

### Step 2: Differentiate the position function to find velocity
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