Recent content by mitch_nufc

Let a_[n] be a sequence tending to a and let k be a real number. Give an epsilon - N proof that lim (k + a_[n]) = k + lim(a_[n]) the the limits are both as n-> infinity I'd really appreciate some help here people. Thanks

An object is fired vertically upwards from the surface of a planetary body; it moves under the action of Newton’s Gravitational Law, without resistance, so the equation is z'' = -gR^2 / (z + R)^2 . Find the relation between v = z' and z and use this model, and the relation that you have found...

yeah i remember all this from A-level physics, but i don't know any masses or distances so i assume theyre kept as constants in the ODE

Does it help to know I'm doing a Maths degree and not a Physics one? We were told none of our questions would require knownledge of classical mechanics/physics, but just differential equations etc

it was given in the question, the equation for z'' that is

An object is fired vertically upwards from the surface of a planetary body; it moves under the action of Newton’s Gravitational Law, without resistance, so the equation is z'' = -gR^2 / (z + R)^2 . Find the relation between v = z' and z and use this model, and the relation that you have found...