Does the escape speed of a body from the earth depend on
(a) the direction of projection,
(b) the height of the location from where the body is launched?
Does the escape speed of a body from the earth depend on
(a) the direction of projection,
(b) the height of the location from where the body is launched?

The escape speed can be given by the relation,

v=\sqrt{\frac{2 G M}{R}}=\sqrt{2 g R}

(a) The escape speed does not depend on the direction of projection of a body.

(b) Because the escape velocity is dependent on the gravitational potential at the point from which it is released, a body’s escape speed is determined by the height of the site from where it is launched. This potential, in turn, is determined by height.