Proportions Projectile Motion Problem

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SUMMARY

The discussion centers on a projectile motion problem where a projectile is launched with an initial speed \( v_i \) and its downrange distance \( \Delta x \) is analyzed when the speed is increased to \( 4v_i \). The participants clarify that the projectile's launch angle significantly affects the downrange distance. The range equation for projectile motion, which incorporates both speed and angle, is essential for accurately determining the new downrange distance when the speed is quadrupled.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with the range equation for projectile motion
  • Basic knowledge of kinematics
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the range equation for projectile motion on flat ground
  • Learn how launch angle affects projectile distance
  • Explore kinematic equations related to projectile motion
  • Investigate the effects of varying initial speeds on projectile trajectories
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Students studying physics, educators teaching projectile motion concepts, and anyone interested in understanding the mathematical relationships in kinematics.

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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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