Algebraic graphing object flight paths

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SUMMARY

The discussion centers on modeling the flight path of a missile to intercept a rocket described by the quadratic function h(t) = -3t² + 45t. The critical point of interception is at t = 12.5 seconds. Participants emphasize the need for clarity regarding the coordinate system, units, and initial conditions for the missile's trajectory. The conversation highlights the importance of defining parameters for accurate graphical and algebraic representation in tools like GeoGebra.

PREREQUISITES
  • Understanding of quadratic functions and their graphical representation
  • Familiarity with the GeoGebra software for graphing
  • Knowledge of coordinate systems and units of measurement
  • Basic principles of projectile motion in physics
NEXT STEPS
  • Learn how to graph quadratic functions using GeoGebra
  • Study the principles of projectile motion and its equations
  • Explore coordinate systems and their applications in physics
  • Investigate methods for solving systems of equations graphically and algebraically
USEFUL FOR

Students and educators in mathematics and physics, software users of GeoGebra, and anyone involved in modeling trajectories in engineering or game development.

stobby
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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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