Solving the Unequal Displacement of Balls Problem

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Homework Help Overview

The problem involves two balls: one thrown upward with an initial speed and the other dropped from a height. The objective is to determine when both balls will be at the same height.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • The original poster seeks guidance on how to start solving the problem. One participant suggests finding height formulas for both balls as functions of time and then comparing them to determine when they are at the same height.

Discussion Status

The discussion has progressed with the original poster indicating they have figured out the problem. A participant offered helpful guidance by suggesting a method to find the solution.

Contextual Notes

No specific constraints or assumptions were noted in the discussion.

Lilly
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hi, if anyone knows how to do this question, could you please get me started?

A ball is thrown upward from the ground with an initial speed of 23.2 m/s; at the same instant, a ball is dropped from a building 16.1 m high. After how long will the balls be at the same height?
thanks...
 
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Find a formula for the height of the first ball as a function of time. call this h_1(t).

Find a formula for the height of the second ball; call that h_2(t).

Then what can you do with the two height formulas to find out when the two balls are at the same height?
 
thanks, i figured it out! :)
 
you're welcome. :smile:
 

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