Algebraic graphing object flight paths

In summary, the conversation discusses the opportunity to shoot down another group's rocket, which can be modeled by the function h(t) = -3t^2 + 45t. The question asks for the straight line path that the missile must follow to shoot down the rocket at the 12.5 second mark, both graphically and algebraically. However, there is ambiguity in the given information, such as the coordinate system, units, and starting point of the missile. Further clarification is needed to solve the problem accurately.
  • #1
stobby
1
0
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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  • #2
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?
 

Related to Algebraic graphing object flight paths

1. What is an algebraic graphing object flight path?

An algebraic graphing object flight path is a mathematical representation of the trajectory or path of an object in flight. It uses algebraic equations and graphing techniques to model the motion of the object.

2. How is algebraic graphing used to analyze flight paths?

Algebraic graphing is used to analyze flight paths by converting real-world data, such as time and distance, into mathematical equations. These equations can then be graphed to visualize the flight path and make predictions about the object's motion.

3. What are the key variables in an algebraic graphing object flight path?

The key variables in an algebraic graphing object flight path include time, distance, velocity, acceleration, and angle of launch. These variables are used to create equations that describe the motion of the object.

4. How does air resistance affect an object's flight path?

Air resistance, also known as drag, can significantly affect an object's flight path. It creates a force that opposes the motion of the object, causing it to slow down and change its trajectory. This must be taken into account when creating an algebraic graphing object flight path.

5. What are some real-world applications of algebraic graphing object flight paths?

Algebraic graphing object flight paths have many real-world applications, such as predicting the trajectory of a projectile in sports like golf or basketball, analyzing the flight paths of rockets or satellites, and designing optimal flight paths for aircraft. They are also used in fields such as engineering, physics, and astronomy to model the motion of objects in space.

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