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Question

A bullet fired into a target loses half of its velocity after penetrating 15 cm. How much further will it penetrate before coming to rest?

A
5cm
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B
25 cm
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C
8.3 cm
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D
75 cm
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Solution

The correct option is A 5cm
Applying the Equation of motion for the initial velocity of the bullet

v2=u2+2aS

a=u240

Applying the equation of motion for the bullet after penetrating 15cm

v2=u2+2aS

Here, u=0 where the bullet is at the rest

The initial velocity of the bullet after penetrating 15cm is u2

Applying the data in the equation of motion

We get

v2=u2+2aS

u220S=u24

S=5cm

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