F=−αx2
ma=−αx2
a=m−αx2
dxvdv=−mαx2
∫v00vdv=∫0x−mαx2dx
(2v2)v00=−mα(3x3)0x
2−v02=−mα3x3
x=(2α3mv02)31
A particle is projected with velocity v0 along x-axis. A damping force is acting on the particle which is proportional to the square of the distance from the origin i.e. ma=−αx2. The distance at which the particle stops:
Held on 24 Feb 2021 · Verified 6 Jul 2026.
(3α2v0)31
(2α3mv02)31
(2α3v02)21
(3α2v02)21
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