Algebraic graphing object flight paths

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The discussion centers on modeling the flight path of a rocket using the equation h(t) = -3t^2 + 45t and determining the missile's trajectory needed to intercept it at 12.5 seconds. Participants express confusion over the lack of clarity regarding the coordinate system, units, and the interpretation of variables in the equation. There is a request for additional information about the missile's starting position and the context of the problem. The need for both graphical and algebraic representations of the missile's path is emphasized. Clearer details are necessary for accurate assistance in solving the problem.
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question: you have the opportunity to shoot down another groups rocket. the path for the other groups rocket can be modeled by h(t) = -3t^2 + 45t . what straight line path must your missile follow if it is to shoot down their rocket at 12.5 second mark? show your answer both graphically and algebraically.

attempted to graph rocket into geogebra and tried to model missile path without luck.

urgent help is much appreciated.

thank you in advance

Stobby.
 
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It would be nicer if you would tell us what the problem really is! What you wrote here makes no sense. "other groups rocket can be modeled by h(t) = -3t^2 + 45t" In what coordinate system? Is h the height and t the time? In what units? You say "at 12.5 second mark". Is t in seconds? If so what is h when t= 12.5?

"what straight line path must your missile follow". A "line" implies two or three space dimensions, not just one. Is there other information you have not told us? Where, in this coordinate system is your missile starting from?
 
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