Solving Newton's Laws Problem: Baseball Player & Runner

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Homework Help Overview

The problem involves a baseball player hitting a ball vertically with an initial velocity and a runner on third base sprinting towards home plate. The objective is to determine the runner's position relative to home plate when the ball returns to its original height.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the time it takes for the ball to descend and the distance the runner covers during that time. There is a question about the runner's speed and its impact on the outcome.

Discussion Status

Some participants have provided specific values, such as the runner's speed, while others are focused on calculating the time for the ball's descent. The discussion is ongoing, with various aspects being explored without a clear consensus yet.

Contextual Notes

The problem lacks explicit information about the runner's speed initially, which is noted as a critical factor in determining the solution.

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Homework Statement



A baseball player hits the ball straight up in the air with a velocity of 18.0m/s. As soon as the ball is hit, the runner on third base dashes toward the home plate. The distance between third base and home plate is 27.4m. Where will the runner be with reference to home plate when the ball returns to its initial height?

Homework Equations


I am not sure

The Attempt at a Solution


Dont understand how to start the solution
 
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How long does it take for the ball to come down? How far does the guy run in this time? (Note that without the speed of the runner, it's impossible to answer this question. The answer will be very different if he's running at the speed of continental drift than if he's running at the speed of light)
 
The guy runs at 7.60 m /s
 
OK, so how long does it take for the ball to come down?
 

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