Projectile Motion Problem: Solving for Optimal Nozzle Angle for a Fire Hose

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Homework Help Overview

The discussion revolves around a projectile motion problem involving a fire hose shooting water at a specific speed and distance. Participants are exploring the angles at which the nozzle can be positioned to achieve a target distance of 2.0 m.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to identify the angles for the nozzle and are questioning the nature of projectile paths, including the equation that describes them. There is also inquiry into the reasoning behind the existence of two different angles for the same target distance.

Discussion Status

The discussion is ongoing, with participants sharing their uncertainties and seeking clarification on the equations and concepts related to projectile motion. Some guidance has been offered regarding the trajectory and the nature of projectile paths, but there is no explicit consensus on the solution yet.

Contextual Notes

Participants have acknowledged that this is a homework question, and there is a mention of the potential need for reference materials such as textbooks or class notes to aid in understanding the problem.

jpodo
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I'm having trouble solving this one. Help would be much appreciated!

A fire hose held near the ground shoots water at a speed of 7.1 m/s.

a.) At what 2 angles could the nozzle point in order that the water would land 2.0 m away?

b.) why are there two different angles?
 
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What path does a projectile make? What's the equation of the path?
 
it is shot in an upward angle <90 degrees. I don't know the equation of the path.
 
Projectiles always follow a parabola. Do you know the equation for a parabola as a parametric equation (i.e. expressing both x and y as functions of t)?
 
uh, I'm not really sure. How would you recommend solving this?
 
A web forum isn't really the best substitute for a textbook or a teacher. Have you covered this in class? Is there a textbook that you can refer to?
 
jpodo said:
b.) why are there two different angles?

Is this a homework question?

And yes, there are two different angles.

Hint...What is the shortest trajectory to a terget 2.0m away?

Jim
 
Sorry for the Q about homework. Thread was moved while I was writing.

Jim
 
Yeah this is homework if it matters. I have no clue what the shortest trajectory is. I just need to know what equation pertains to this problem
 

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