A body is projected vertically from earth's surface with velocity equal to half the escape velocity. The maximum height reached by the satellite is ( R= radius of earth)

Step-by-step solution

Given: v = v _ c 2 If body is projected with velocity v ( v < v _e ) then height up to which it will rise, h= R ( v_c^2 v^2 -1 ) h = R ( v _ e v _ e / 2 )^2-1 = R 4-1 = R 3