What happens to the acceleration of a body if the body comes to rest?

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Solution

Acceleration of body:
The rate of change of velocity is referred to as the body's acceleration.
Acceleration is a vector quantity.
For a body to come to rest, we must provide retardation to the body which is negative acceleration.
After the body stops, its velocity becomes zero. As a result, the acceleration also becomes zero.

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Q. At

t = 0

, a body starts from origin with some initial velocity, The displacement

x (m)

of the body varies with time

t (x)

x = - (2 / 3) t^{2} + 16 t + 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?

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