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  ## a ball is thrown straight up with an initial velocity of 25ft per second from the top of a building 200 feet tall. When does the ball pass pass the roof on its
  
  I need help with quadratic formulas.
  
  Remember conservation of energy? It says that the total energy in a closed system will always remain constant. When it comes to free-fall, we can go one further and say that the kinetic energy of the system at one height level is the same, regardless of direction of motion (for convenience, we'll ignore air resistance). In other words, at the same height (here, the level of the roof), the speed of the ball will be the same in the system, so since the ball is thrown upwards at 25ft/s, it will also come down at 25 ft/s (25 ft/s is 7.62 m/s, by the way, since we'll need to convert to metric measurements).
  
  Because the ball left your hand at 25ft/s (7.62m/s) upwards and came back down at the same speed, this implies that there was an overall velocity change of 50ft/s (15.24m/s). The gravitational pull of the Earth (9.8m/s2) did all of the work in changing that velocity, so we can calculate the total time by simply dividing the velocity change by the acceleration.
explanation: The text extract describes a physics problem involving a ball thrown upwards from a building. It discusses the principles of conservation of energy and the effect of gravity on the ball's motion. The extract mentions a question about the ball passing the roof on its way down but does not provide a direct answer to this specific question. Instead, it provides a detailed explanation of the physics concepts involved.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: Search 75,683 tutors
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  ## a ball is thrown straight up with an initial velocity of 25ft per second from the top of a building 200 feet tall. When does the ball pass pass the roof on its
  
  I need help with quadratic formulas.
  
  Remember conservation of energy? It says that the total energy in a closed system will always remain constant. When it comes to free-fall, we can go one further and say that the kinetic energy of the system at one height level is the same, regardless of direction of motion (for convenience, we'll ignore air resistance). In other words, at the same height (here, the level of the roof), the speed of the ball will be the same in the system, so since the ball is thrown upwards at 25ft/s, it will also come down at 25 ft/s (25 ft/s is 7.62 m/s, by the way, since we'll need to convert to metric measurements).
  
  Because the ball left your hand at 25ft/s (7.62m/s) upwards and came back down at the same speed, this implies that there was an overall velocity change of 50ft/s (15.24m/s). The gravitational pull of the Earth (9.8m/s2) did all of the work in changing that velocity, so we can calculate the total time by simply dividing the velocity change by the acceleration.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The text extract describes a physics problem involving a ball thrown upwards from a building. It discusses the principles of conservation of energy and the effect of gravity on the ball's motion. The extract mentions a question about the ball passing the roof on its way down but does not provide a direct answer to this specific question. Instead, it provides a detailed explanation of the physics concepts involved.
  
  Label: question