Find Velocity with only range given.

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SUMMARY

The discussion centers on calculating the initial speed (v0) required for an intercontinental ballistic missile to achieve a range of 16,000 km. Participants highlight that additional constraints, such as maximum height or launch angle, are necessary to derive a unique solution for v0. The problem emphasizes the need for clarity in the problem statement and the application of relevant physics equations to solve for the missile's velocity.

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Homework Statement



For the intercontinental ballistic missile to
have a range of 16000 km, what must be
the speed v0 of the missile at the end of the
accelaration phase? Take the distance of the
accelaration phase, called the boost time, as
negligible compared to the travel time.
Answer in units of km/s.


Homework Equations





The Attempt at a Solution

 
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The problem needs another constraint, like maximum height or launch angle for it to have a singular v0 solution. Double check the problem statement, pick some relevant equations, and show us where you are getting stuck.
 

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