If a body loses half of its velocity on penetrating 3 cm in a wooden block, then how much will it penetrate more before coming to rest?

Question

Philoid · Accepted Answer

If we assume that the body undergoes uniform acceleration then we can use:

…..1

Where, v = Final Velocity

u = Initial Velocity

s = Distance Travelled

a = Acceleration

Now, in the given case, we have:

s = 3 cm

a = ?

Now,

Here, negative acceleration is present as velocity is decreasing.

Now, for the case to find:

, v = 0, s = ?, a =

So,

Hence, the body further penetrates 1 cm before coming to rest.