At `t=0`, a body starts from origin with some initial velocity. The displacement `x(m)` of the body varies with time `t(s)` as `x=-(2//3)t^2+16t+2`. Find the initial velocity of the body and also find how long does the body take to come to rest? What is the acceleration of the body when it comes to rest?

Explanation

To solve the problem step by step, we will follow the given equation of motion and apply the necessary physics concepts.

### Given:
The displacement of the body is given by the equation:
\[ x(t) = -\frac{2}{3}t^2 + 16t + 2 \]

### Step 1: Find the initial velocity
The initial velocity can be found by calculating the velocity at \( t = 0 \).
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