The velocity time relation of a particle is given by v `= (3t^(2) -2t-1) m//s ` Calculate the position and acceleration of the particle when velocity of the particle is zero . Given the initial position of the particle is 5m .

Explanation

To solve the problem step by step, we will first determine the time when the velocity of the particle is zero, and then we will calculate the position and acceleration at that time.

### Step 1: Find when the velocity is zero
The velocity of the particle is given by the equation:
\[ v = 3t^2 - 2t - 1 \]

To find when the velocity is zero, we set the equation to zero:
\[ 3t^2 - 2t - 1 = 0 \]
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