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A bullet moving with a velocity of 302 ms-1 is fired into a fixed target. It penetrated into the target to the extent of s meter. If the same bullet is fired into a target of thickness s2 metres and of the same material with the same velocity, then the bullet comes out of the target with velocity, is [EAMCET 2014]

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a

20 ms-1

b

30 ms-1

c

202 ms-1

d

102 ms-1

answer is B.

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Detailed Solution

Given, u = 302 ms-1Distance = s meterLet a be the acceleration of the bullet.According to the first condition, (v = 0)From third equation of motion, v2 = u2 - 2as0 = 900 × 2 - 2as ⇒ a = 900s ms-2For second condition,v2=u2-2as=(302)2-2×900s×s2⇒ v2 = 1800 - 900⇒ v = 900 = 30 ms-1

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A bullet moving with a velocity of 302 ms-1 is fired into a fixed target. It penetrated into the target to the extent of s meter. If the same bullet is fired into a target of thickness s2 metres and of the same material with the same velocity, then the bullet comes out of the target with velocity, is [EAMCET 2014]