State which of the following statements are false.

Select all that apply

• Option A

  If two particles are neither approaching nor separating from each other at an instant, then their relative velocity is zero.

• Option B

  If relative velocity of particle B with respect to A is $\vec{V_1}$, relative velocity of particle C with respect to B is $\vec{V_2}$ and particle A moves with velocity $\vec{V_0}$ with respect to ground, then the velocity of C with respect to ground cannot be zero. (assuming v₁, v₂ & v₀ to be non-zero)

• Option C

  Four dogs run along one line in the same direction, each with equal speed relative to the dog in front. The rate of separation of dog 3 from dog 1 is the same as that of dog 4 from dog 2.

• Option D

  If relative velocity of two particles is zero at one instant, they will remain stationary relative to each other forever.