A point starts moving in a straight line with a certain acceleration. At a time 𝑡 after beginning of motion the acceleration suddenly becomes retardation of the same value. The time in which the point returns to the initial point is

A point starts moving in a straight line with a certain acceleration. At a time 𝑡 after beginning of motion the acceleration suddenly becomes retardation of the same value. The time in which the point returns to the initial point is

Question : A point starts moving in a straight line with a certain acceleration. At a time 𝑡 after beginning of motion the acceleration suddenly becomes retardation of the same value. The time in which the point returns to the initial point is

(A) \sqrt{2t}

(B) \left( 2+\sqrt{2}\right) t

(C) \dfrac{t}{\sqrt{2}}

(D) Cannot be predicted unless acceleration is given