AP Physics C: Mechanics
6.6 Motion of Orbiting Satellites
A space probe of mass \(m\) is launched radially outward from the surface of a uniform spherical planet of mass \(M\) and radius \(R\). The probe is given an initial launch speed equal to the planet's escape speed, \(v_{\text{esc}} = \sqrt{\dfrac{2GM}{R}}\), and no forces other than the planet's gravity act on the probe. Which of the following graphs best represents the speed \(v\) of the probe as a function of radial distance \(r\) from the center of the planet for \(r \ge R\)?
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