# The acceleration experienced by a moving boat after is engine is cut-off, is given by 𝑎 = −𝑘𝑣3 , where 𝑘 is a constant. If 𝑣0 is the magnitude of velocity at cut-off, then the magnitude of the velocity at time 𝑡 after the cut off is

Question : The acceleration experienced by a moving boat after is engine is cut-off, is given by 𝑎 = −𝑘𝑣3 , where 𝑘 is a constant. If 𝑣0 is the magnitude of velocity at cut-off, then the magnitude of the velocity at time 𝑡 after the cut off is

(A) $\dfrac{v_{0}}{2ktv_{0}^{2}}$

(B) $\dfrac{v_{0}}{1+2ktv_{0}^{2}}$

(C) $\dfrac{v_{0}}{1-2ktv_{0}^{2}}$

(D) $\dfrac{v_{0}}{1+2ktv_{0}^{2}}$