Penetration and deceleration to rest

A bullet or body decelerates uniformly while penetrating a medium (wooden block, plank), and the question asks for additional penetration distance or number of planks needed to stop it.

jee-main 2002 Q4 View
If a body looses half of its velocity on penetrating 3 cm in a wooden block, then how much will it penetrate more before coming to rest?
(1) 1 cm
(2) 2 cm
(3) 3 cm
(4) 4 cm
jee-main 2021 Q22 View
A bullet of mass 0.1 kg is fired on a wooden block to pierce through it, but it stops after moving a distance of 50 cm into it. If the velocity of the bullet before hitting the wood is $10 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ and, it slows down with uniform deceleration, then the magnitude of effective retarding force on the bullet is $x \mathrm {~N}$. The value of $x$ to the nearest integer is