Column I describes some situations in which a small object moves. Column II describes some characteristics of these motion. Match the situtions in column I with the characteristics in column II.

Answer

A `to` (p) B `to` (q, r) C `to` (p) D `to` (s)

Explanation

A `to` (p): For a body executing S.H.M. velocity and displacement are related as
`v = omegasqrt(A^(2) - x^(2))`
where `omega` and A are constants
The given equation `v = c_(1)sqrt(c_(2) - x^(2))` is similar to the above equation. So, the body is performing S.H.M. ,
`B to` (q, r), v = -kx
So, when x = 0, v = 0, i.e., object is at rest at x = 0. So, an object starting with negative value of x has its kinetic energy decreasing with time.
C `to` (p): For an observer in the reference frame of the elevator, a constant force acts on the object, This force is pseudo in nature. So, the motion of the object remains simple harmonic motion.
D `to` (s): The speed of projection is twice the escape velocity from earth. Also, the direction of motion does not change as all other forces other than the earth are neglected. The speed of object keepts on decreasing.