Projectile Motion, Finding the Angle

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Homework Help Overview

The problem involves projectile motion, specifically determining the angle of projection when the horizontal range is three times the maximum height. The context is rooted in kinematics and the equations governing projectile motion.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to begin solving the problem. Some participants suggest breaking down the initial velocity into horizontal and vertical components and applying kinematic equations. Others attempt to manipulate the equations but struggle to isolate the angle of projection, raising questions about the relationships between the variables involved.

Discussion Status

Participants are actively engaging with the problem, offering guidance on how to approach it. There is a recognition of the need to apply kinematic equations, but no consensus has been reached on a specific method or solution yet. The discussion is ongoing, with various interpretations and attempts being explored.

Contextual Notes

Participants are considering the constraints of the problem, such as the relationship between horizontal range and maximum height, but specific values or additional information are not provided. The focus remains on understanding the setup and the relevant equations.

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Homework Statement


A projectile is fired in such a way that its horizontal range is equal to three times its maximum height. What is the angle of projection?


Homework Equations


Kinematics Equations


The Attempt at a Solution


I'm not even sure where to start. Can someone point me in the right direction?
 
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Lotta, as soon as you see the word "projectile", separate the initial velocity v at angle A into horizontal and vertical parts. Then write two headings:
Horizontal and Vertical. Decide in each case whether you have constant speed or accelerated motion and write the appropriate formula(s). Put in the numbers or expressions for all known quantities and look for an equation you can solve.
 
ok so I tried fitting the x and y components into various kinematics equations but I can't seem to isolate any variables to find the angle
I get things like
19.6h = Vy^2
or 3h = Vx t
any hints?
 
needlottahelp said:
ok so I tried fitting the x and y components into various kinematics equations but I can't seem to isolate any variables to find the angle
I get things like
19.6h = Vy^2
or 3h = Vx t
any hints?

Write out the traditional equations of motion for us for a constant gravitational force. What are the general equations? Now, what constrains this problem? How can you factor those constraints into those equations? Write things out and show us your work.
 

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