A body has an initial velocity of $4 m s^{- 1}$ and deceleration of $4 m s^{- 2}$ , then what is its final velocity after travelling 2 m?

$4 m s^{- 1}$

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$0 m s^{- 1}$

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$5 m s^{- 1}$

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2 m s^{- 1}

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Solution

The correct option is B
$0 m s^{- 1}$

Given, initial velocity $u = 4 m s^{- 1}$ and distance covered, s = 2 m.
Since the body is decelerating, $a = - 4 m s^{- 2}$
Let the final velocity be 'v'.
From the third equation of motion, we know, $v^{2} - u^{2} = 2 a s$
$v^{2} = 4^{2} + (2 \times - 4 \times 2)$ = 0
$∴$ Final velocity of the body is zero.

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