I think if the body will move at escape velocity then

its direction will be the tangential path in which the object moves

if the body is given escape velocity along the normal(,ie vertically upwards )then it will go in a straight line.

However if it is thrown at any other angle it will go in a parabola.

it will depend

if velocity is given normally then will be STRAIGHT LINE

if given in any other direction then it will be PARABOLIC

I think the two probability's

one is hyperbolic and the other is tangential

MAY BE

It will be a straight line or path.............vertically upwards if its mass in not decreasing....(or it doesnot have variable mass).............................

If its mass is decreasing as in the case of Rockets, one time will come when it will take tangential path..........

Correct  me, if I m wrong.

the path is parabolic as...... when body goes to very great hight then it starts revolving around the earth

The path will be vertically upward but we will see it going in a curved path due to rotation of the earth.That's why when Rockets are fired they are fired vertically but they seem to go in a curved path as seen in T.V.(as most of u would hav seen).It will escape the earth's gravity and will go vertically(if it will hav constant mass).....................

When the satellites are fired in space in rockets,they are attached with magnetic remote control which when they reach ther height (3200-3600km) are turned off which makes ther velocity zero and turns them to revolve around the earth..........now.....they are in the influence of gravitational force between the satellite and  the earth ,not gravity.

Correct me,if I am wrong.

I dunno exactly but the speed of satellite carrying rocket is controlled by NASA or the ground station only..........

Actually,I wanted to say that the objects with constant mass will escape......not rocket...it has variable mass........