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

Step-by-step solution

Since velocity of projection (v) is greater than the escape velocity (v_e ) , therefore at infinite distance the body moves with a velocity aligned v^ & = v^2-v_e^2 v^ & = ( 5 v_e )^2-v_e^2 =2 v_e aligned