# 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