The escape velocity of a body on the earth's surface is $v_e$. A body is thrown up with a speed $\sqrt 5 v_c$. Assuming that the sun and planets do not influence the motion of the body, velocity of the body at infinite distance, is :

Question

$$\begin {array} {1 1} (a)\;0 & \quad (b)\;v_e \\ (c)\;\sqrt 2 v_e & \quad (d)\;2v_e \end {array}$$