Column $I$ describes some situations in which a small object moves. Column $II$ describes some characteristics of these motions. Match the situation in Column $I$ with the characteristics in Column $II$.

Column $I$	Column $II$
$(A)$ The object moves on the $x$-axis under a conservative force such that its speed $v = c_1 \sqrt{c_2 - x^2}$,where $c_1, c_2 > 0$.	$(p)$ The object executes simple harmonic motion.
$(B)$ The object moves on the $x$-axis such that its velocity $v = -kx$,where $k > 0$.	$(q)$ The object does not change its direction.
$(C)$ An object is attached to a spring in an elevator accelerating upwards with constant acceleration $a$. The motion is observed from the elevator.	$(r)$ The kinetic energy of the object keeps on decreasing.
$(D)$ The object is projected vertically upwards with speed $2 \sqrt{GM_e / R_e}$.	$(s)$ The object can change its direction only once.

• A
  $A \rightarrow (p), B \rightarrow (q) \& (r), C \rightarrow (p), D \rightarrow (r) \& (q)$
• B
  $A \rightarrow (r), B \rightarrow (q) \& (r), C \rightarrow (p), D \rightarrow (p) \& (q)$
• C
  $A \rightarrow (q), B \rightarrow (r) \& (r), C \rightarrow (p), D \rightarrow (q) \& (r)$
• D
  $A \rightarrow (s), B \rightarrow (q) \& (s), C \rightarrow (p), D \rightarrow (s) \& (r)$