A probe is launched vertically upwards from the surface of a planet with a speed
v = 3/4 vesc
where vesc is the escape speed from the planet. The planet has no atmosphere.
Determine, in terms of the radius of the planet R, the maximum height from the surface of the planet reached by the probe.
Ans: The escape velocity of a planet is
The velocity of probe is
From 1D kinematics, the maximum height reached by an object vertically up when the gravitational acceleration of the planet is g is Here,
Therefore,
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