Determine Initial Velocity of Rocket: Range 300 km, Height 100 km

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To determine the initial velocity of a rocket with a range of 300 km and a maximum height of 100 km, one must calculate the vertical and horizontal components of the velocity. The launch angle is not provided, so it needs to be derived from the given data. The relevant equations include those for vertical motion (using d = Vi(t) + 1/2At^2) and horizontal motion, which can be adjusted to find time of flight and maximum range. Understanding these equations is crucial for solving the problem accurately. Proper application of these principles will yield the initial velocity needed for the rocket's trajectory.
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The question is A rocket has the range of 300 km and the max. height of 100km. Determine the initial velocity. How do I figure this out?

I know you have to find out vertical and horizontal componets but I don't think I know how to do that.
 
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does it give the angle of the launch?
 
No it doesn't it, its part of your suppose to figure out.
 
when you are figuring out time do you use d=Vi(t)+1/2At^2 but alter it to find time?
 
Write down the relevant equations for vertical component and horizontal component of velocity, time of flight, maximum height and maximum range.
 
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