Proportions Projectile Motion Problem

AI Thread Summary
The discussion revolves around a projectile motion problem where a projectile's downrange distance is analyzed based on its launch speed. The initial assumption is that the projectile is launched horizontally, leading to a straightforward conclusion that the distance would increase by a factor of four if the speed is quadrupled. However, there is a suggestion that the projectile may actually be launched at an angle, which complicates the analysis. The range equation for projectile motion on flat ground is recommended as a more comprehensive approach to solve the problem. Clarifying the launch angle is crucial for accurately determining the new downrange distance.
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Homework Statement


A projectile on level ground is launched with a certain speed vi and has a downrange distance of Δx. What is Its new downrange distance if it is launched with a speed of 4vi instead?

Homework Equations


Δx=vi*t (I think)

The Attempt at a Solution


Since it says speed in the question, I assumed that the projectile was launched horizontally, therefore only affecting the downrange distance by a factor of 4. I'm not sure if it is launched at an angle though, but I'm thinking it wasn't.[/B]
 
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Although you are correct with your reasoning, my guess is that the intention of the question, although it was not specified, is that the projectile was launched at an angle. Have you discussed the range equation for projectile motion on flat ground? That would be the easiest way to answer the question, though you can reason out the answer without it.
 

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