Ball Drop Problem: Solving the Dual Impact Challenge

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To solve the Ball Drop Problem, first calculate the time it takes for the second ball, dropped 2 seconds after the first, to hit the ground from a height of 60 meters. The equation of motion for the dropped ball can be used to determine this time. Once the time for the dropped ball is established, use it to find the required initial speed of the first ball so that both balls hit the ground simultaneously. The key is to relate the displacement of the first ball, which is thrown upwards, to the time it travels. Understanding these equations of motion is crucial for solving the problem effectively.
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This problem has really been bugging me. After several attempts, I don't even know where to start anymore.

A ball is thrown straight up from the edge of the roof of a building. A second ball is dropped from the roof 2.00 s later. Air resistance may be ignored.

(a) If the height of the building is 60 m, what must be the initial speed of the first ball if both are to hit the ground at the same time?
 
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Well the first thing i would do is calculate the time it takes for the dropped ball to hit the ground. That should be a fairly simple calculation.

Next, what equation do you know which relates the displacement of an accelerating body to the time it travels for?
 

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