The displacement of a particle depends on time as x=αt²-βt³. Which statements are correct?

Select all that apply

• Option A

  The particle returns to its starting point after time α/β.

• Option B

  The particle comes to rest after time 2α/(3β).

• Option C

  The initial velocity is zero but initial acceleration is non-zero.

• Option D

  No net force acts on the particle at time α/(3β).