Answer :

Here,

Initial speed = u Final Speed = v

Retardation = a Acceleration = –a

Time taken to come to rest = T

Now, using equations of motion, we get:

..A

..1

Also using another equation of motion:

..2

Now, putting 2 in 1, we get:

..3

Now, for the first half of the path distance covered =

Let the time taken = t

So, using 1 we get:

Now, this is a quadratic equation, on solving this we get:

Since t < T, So,

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