The position of a particle is given by `vecr=(8thati+3t^(2)hatj+5hatk)m` where t is measured in second and `vecr` in meter. Calculate, the velocity and the acceleration of the particle.

Explanation

To solve the problem, we need to calculate the velocity and acceleration of the particle given its position vector \(\vec{r} = (8t \hat{i} + 3t^2 \hat{j} + 5 \hat{k})\) in meters, where \(t\) is in seconds.

### Step 1: Write down the position vector
The position vector of the particle is given as:
\[ \vec{r} = 8t \hat{i} + 3t^2 \hat{j} + 5 \hat{k} \]

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