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Question

A body has an initial velocity of 4 ms−1 and deceleration of 4 ms−2. What is the final velocity after travelling a distance of 2 m?


A
4 ms1
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B
0 ms1
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C
32 ms1
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D
16 ms1
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Solution

The correct option is B 0 ms1

Let u be the initial velocity of the body, v be the final velocity, a be the acceleration and s be the distance traveled.
Given, u=4 ms1, a=4 ms2 (since the body is decelerating), and s=2 m
From the third equation of motion,
v2 = u2 + 2as v2=42+(2×4×2)
v=42+(2×4×2)=0 ms1


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