Horizontal Range Homework: 45° & 30° Angles

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Homework Help Overview

The problem involves determining the relationship between the horizontal ranges of a ball thrown at angles of 45° and 30° above the horizontal, both with the same initial speed. The context is within the subject area of projectile motion.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to analyze the problem by breaking down the initial speed into horizontal and vertical components. They express uncertainty about the next steps due to the lack of time information. Some participants question the definition of "horizontal range" and its implications.

Discussion Status

The discussion is ongoing, with participants exploring the meaning of "horizontal range" and its relationship to the distances traveled by the projectile. There is no explicit consensus yet, but some hints and clarifications are being exchanged.

Contextual Notes

The problem does not provide specific time information, which is noted as a constraint affecting the approach to the solution.

Yoruichi
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Homework Statement


A ball is thrown at angles 45° and 30° above the horizontal with the same initial speed. What multiple of the horizontal range at angle 30° is that at angle 45°?

Homework Equations


Trigonometry formula

The Attempt at a Solution


I think that first step is to divide the initial speed into horizontal component and vertical component.
Let the initial speed be u
Horizontal speed of 30° angles : u x cos 30° = 1 / 2 u
Horizontal speed of 45° angles : u x cos 45° = √2 / 2 u

After this I'm not sure what to do next.. Since the question didn't provide time, I can't use the kinetic equation formula.
Can anyone give me a hint about what should I do next?
 
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What do you think "horizontal range" means?
 
haruspex said:
What do you think "horizontal range" means?
Horizontal distance traveled..
Oh wait, I think I get something..
*edit
 
Yoruichi said:
Horizontal distance traveled..
Oh wait, I think I get something..
*edit
Horizontal distance traveled between two points having what relationship?
 

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