Example Problem

The acceleration due to gravitational force varies with altitude, $y$

$a=-g_0\frac{R^2}{(R+y{)}^2}$

$g_0=9\mathrm{.}8\frac{m}{s^2}$ and $R=6356km$

Air drag is ignored!

Determine

Minimum vertical initial velocity so that the rocket never falls back to the Earth.

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