Solving the Unequal Displacement of Balls Problem

AI Thread Summary
To solve the unequal displacement of balls problem, first derive the height function for the thrown ball, h_1(t) = 23.2t - 0.5gt², where g is the acceleration due to gravity. For the dropped ball, the height function is h_2(t) = 16.1 - 0.5gt². Set the two height equations equal to each other to find the time when both balls reach the same height. After some discussion, the original poster successfully figured out the solution. Understanding the motion equations is key to solving this type of physics problem.
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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