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 $$2014$$]

Question

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 $$2014$$]

Infinity Learn · Accepted Answer

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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