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Question 12.29: A ball A is thrown vertically upward from the top of a 30-m-...

A ball A is thrown vertically upward from the top of a 30-m-high building with an initial velocity of 5 m/s. At the same instant another ball B is thrown upward from the ground with an initial velocity of 20 m/s. Determine the height from the ground and the time at which they pass.

Question Data is a breakdown of the data given in the question above.
  • Ball A is thrown vertically upward
  • Ball B is thrown upward from the ground
  • Ball A has an initial velocity of 5 m/s
  • Ball B has an initial velocity of 20 m/s
  • The building is 30 m high
  • We need to determine the height from the ground and the time at which they pass
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Step 1:
Write down the equations of motion for each ball. Fo...
Step 2:
Plug in the given values into the equations. For bal...
Step 3:
Set the equations equal to each other to find the time ...
Step 4:
Simplify the equation. Since the t^2 terms cancel ou...
Step 5:
Solve for t. Subtract 20t from both sides: -15t = -3...
Step 6:
Interpret the result. The time at which the balls pa...
Step 7:
Find the height at which they pass each other. Plug ...
Therefore, the height at which ball A and ball B pass e...

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