From what height was the ball thrown?

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Homework Help Overview

The problem involves a ball thrown horizontally at a speed of 24 m/s, which travels a horizontal distance of 52 m before hitting the ground. The goal is to determine the height from which the ball was thrown, utilizing kinematic equations.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss breaking down the velocity into components, questioning the angle of projection and its implications for the vertical and horizontal components of velocity. There is confusion regarding how to proceed after identifying the components and how to relate time and height in the context of the problem.

Discussion Status

Some participants have provided guidance on using kinematic equations to relate horizontal distance, velocity, and time. There is an ongoing exploration of the relationship between the components of velocity and the time it takes for the ball to hit the ground. While one participant claims to have found a solution, the discussion remains open for further clarification and exploration.

Contextual Notes

Participants are working under the assumption that the ball is thrown horizontally, which simplifies the analysis of its vertical motion. There is an emphasis on understanding the implications of the initial conditions provided in the problem.

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Homework Statement


A ball thrown horizontally at 24m/s travels a horizontal distance of 52 m before hitting the ground. From what height was the ball thrown?


Homework Equations


Kinematic equations


The Attempt at a Solution


I know that the velocity needs to broken into its components. I think the angle is 90 degrees, but I'm not sure. After the components are found, I don't know where to go. I know you're supposed to plug the variable into the y equations to find the time, and then plug the time into the x equation to find displacement or whatever else. But in this problem you're looking for the height in the y direction. I'm just confused.
 
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aligass2004 said:

Homework Statement


A ball thrown horizontally at 24m/s travels a horizontal distance of 52 m before hitting the ground. From what height was the ball thrown?


Homework Equations


Kinematic equations


The Attempt at a Solution


I know that the velocity needs to broken into its components. I think the angle is 90 degrees, but I'm not sure. After the components are found, I don't know where to go. I know you're supposed to plug the variable into the y equations to find the time, and then plug the time into the x equation to find displacement or whatever else. But in this problem you're looking for the height in the y direction. I'm just confused.
Yes, you would need in gneral to break up the velocity into components, but in this problem, it is given that it is thrown horizontally in the x direction, so what is its y component of velocity if it is thrown directly in the horizontal direction? What is its x component of velocity?
 
Ok, so the angle is zero. So is the y component zero and is the x component 24m/s?
 
aligass2004 said:
Ok, so the angle is zero. So is the y component zero and is the x component 24m/s?
Yes. So how long does it take to hit the ground (use the kinematic motion equation in the x direction that relates horizontal distance with horizontal velocity and time). The once you have the time, work on the height.
 
I got it! The time is 2.167, which makes the height 23.01. Thank you soooo much!
 

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