This also came in my exams.....
If a body is projected with a vel. "v" greater than the escape vel from the surface of earth , then its vel. in intersteller space will be
ans) let v' be the vel. of projected body , where g is zero (intersteller , g = 0 iska meaning yeh hai) , so potential energy bhi zero rahegi
from law of cons. of energy ,
1/2 m(v)2 + - [GMm/R) = 1/2 m (v')2 + 0
v'2 = v2 - 2GM/R
as we knw escape vel. = (2GM/R)1/2
so v'2 = v2 - ve2
so this will be its vel.
This 1 too...(look at the qs)
Q) Is it possible to put an artificial satellite on an orbit in such a way that it always remain visible over CHANDIGARH
ANS) The answer to this is no ,coz to put an artif. satellite in an orbit such dat it always remain directly over a particular place , its time period mst be same as dat of earth in equitorial plane . As chd doesnt lie on equitorial plane...so its nt possible
HOPE THIS HELPS 
