Mechanics Thing(algebra craziness)

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In summary, the conversation discusses the task of consolidating three equations used to calculate the distance a projectile will travel when fired at an angle and at a height above the ground. The equations include velocity based on conservation of energy, vertical displacement, and horizontal displacement. However, attempts at consolidating these equations into one step have resulted in complicated fractions and expressions. The individual seeking help is directed to a resource for further understanding.
  • #1
naes213
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Homework Statement


The task is to consolidate the three equations used to calculate the distance that a projectile fired at an angle and at a height above the ground will travel. Its an experiment with an adjustable projectile launcher. Calculate the velocity using conservation of energy based on the height straight up that the projectile reaches.


Homework Equations



V=rad(2gh), Dy=.5*a*t^2, Dx=vx*t

The Attempt at a Solution



All attempts at consolidating this into one step have result in enormous ridiculous fractions that are very difficult to simplify. Things like v^4*cos^2(theta)*sin(theta) and large radical expressions. Any help wpuld be greatly appreciated!
 
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  • #2
You might want to read up here: http://www.pa.uky.edu/~moshe/phy231/lecture_notes/projectile.html

Basically you're just trying to do the same thing except for a certain starting height which isn't 0.
 
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  • #3
Thanks!
 

1. What is "Mechanics Thing" and why is it important in algebra?

"Mechanics Thing" refers to the application of algebraic concepts in solving problems related to mechanics, which is the branch of physics that deals with motion and forces. It is important in algebra because it allows us to use mathematical equations to understand and predict the behavior of physical systems.

2. What are some common examples of "Mechanics Thing" in algebra?

Some common examples of "Mechanics Thing" in algebra include using equations such as F=ma to calculate forces, using kinematic equations to determine the motion of objects, and using energy equations to analyze the work and energy of systems.

3. How does "Mechanics Thing" relate to other areas of science?

"Mechanics Thing" is closely related to other areas of science such as physics and engineering. Algebraic concepts are used to solve problems in these fields, making "Mechanics Thing" an essential tool for understanding and analyzing physical phenomena.

4. What are some tips for solving "Mechanics Thing" problems in algebra?

Some tips for solving "Mechanics Thing" problems in algebra include clearly defining the variables, using correct units, and setting up equations with the correct signs and directions. It is also important to understand the physical meaning of the equations and to check your answers for reasonableness.

5. Are there any real-world applications of "Mechanics Thing" in algebra?

Yes, there are many real-world applications of "Mechanics Thing" in algebra, particularly in fields such as engineering, physics, and astronomy. For example, engineers use "Mechanics Thing" to design structures and machines, while astrophysicists use it to study the motion of planets and objects in space.

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