Projectile Motion (Ball thrown Hortizonally)

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Homework Help Overview

The problem involves projectile motion, specifically a ball thrown horizontally at a given speed and distance, with the goal of determining the height from which it was thrown.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to visualize the trajectory of the ball and questions whether it follows a typical parabolic path or a different shape due to its horizontal launch.
  • Some participants suggest using the horizontal velocity and displacement to find the time of flight, then applying kinematic equations to determine the height.

Discussion Status

The discussion includes various interpretations of the projectile's motion and the application of kinematic equations. Some guidance has been offered regarding the relationship between horizontal motion and vertical fall time, but no consensus has been reached on the final approach.

Contextual Notes

Participants note the absence of vertical acceleration and the initial vertical velocity being zero, which are key assumptions in analyzing the problem.

talaroue
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Homework Statement


A ball thrown horizontally at 22.47 m/s travels a horizontal distance of 43.15 m before hitting the ground. From what height was the ball thrown?


Homework Equations


Vfy=Viy-g(delta t)
yf=yi+Viy(delta t)-.5g(delta t)^2
yf=yi-(Vfy^2-Viy^2)/2g


The Attempt at a Solution


Since its thrown horizontally does it arc above the intial position or does it just start its decent so instead of being a upside down "u" shape it just has like a backwards "r" shape?
 
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Never heard of those shapes before. Knowing that there is no acceleration in the horizontal direction, you can get the time it takes to hit the ground with horizontal velocity and displacement.

Then you know that the initial y-velocity is 0 m/s. So just solve a kinematic equation for the height knowing the time it takes to fall to the ground with 0 initial velocity.
 
haha it was a bit unorthidox method of looking at it but I understand it now thanks.
 
No problem.
 

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