Find Velocity with only range given.

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To determine the required speed of an intercontinental ballistic missile with a range of 16,000 km, additional constraints such as maximum height or launch angle are necessary for a unique solution. The discussion emphasizes the need for clarity in the problem statement to proceed effectively. Participants suggest reviewing relevant equations and identifying where confusion arises in the calculations. The importance of understanding the relationship between range, speed, and trajectory is highlighted. Without further parameters, a singular solution for the missile's speed cannot be achieved.
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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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