A particle of mass m is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time?

Question

A particle of mass m is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Motion start from extreme position and for small displacement it is SHM y = A cos (ω t +φ)

Q. A particle of mass $m$ is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time?

Motion start from extreme position and for small
displacement it is SHM $y = A cos (ω t + ϕ)$

Q. A particle of mass m is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time?

Motion start from extreme position and for small displacement it is SHM y=Acos(ωt+ϕ)

Q. A particle of mass $m$ is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time?

Motion start from extreme position and for small
displacement it is SHM $y = A cos (ω t + ϕ)$