Escape velocity does not depend on the mass of the body as well as the direction of projection of the body. It only depends on the mass and the radius of the planet or Earth from where the body is to be projected.
What is escape velocity?
The escape velocity equation is obtained by equating the kinetic energy of an object with mass m and travelling with a velocity of v and gravitational potential energy of the same object.
vc = √2GM/r
- vc is the escape velocity
- G is the universal gravitational constant
- M is the mass of the celestial object whose gravitational pull has to be superseded
- r is the distance from the object to the centre of mass of the body to be escaped