text: • question_answer A particle is projected form the ground with an initial velocity of 20 m/s at an angle of $30{}^\circ$with horizontal. The magnitude of change in velocity in a time interval from t = 0 to t = 0.5 s is $(g=10m/{{s}^{2}})$ A) 5 m/s B) 2.5 m/s C) 2 m/s                D) 4 m/s
  
  [A] During motion force acting on particle only in downward direction i.e. mg so only its vertical velocity change during the motion $a=\frac{mg}{m}=g\,\,downward$ ${{v}_{y}}={{u}_{y}}+gt$ ${{v}_{y}}-{{u}_{y}}=gt$ $\Delta v=gt=10\times 0.5=5m/\sec$
explanation: The document contains a math question related to the change in velocity of a particle projected from the ground. It also includes a detailed solution to the problem, leading to the answer of 5 m/s.
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: • question_answer A particle is projected form the ground with an initial velocity of 20 m/s at an angle of $30{}^\circ$with horizontal. The magnitude of change in velocity in a time interval from t = 0 to t = 0.5 s is $(g=10m/{{s}^{2}})$ A) 5 m/s B) 2.5 m/s C) 2 m/s                D) 4 m/s
  
  [A] During motion force acting on particle only in downward direction i.e. mg so only its vertical velocity change during the motion $a=\frac{mg}{m}=g\,\,downward$ ${{v}_{y}}={{u}_{y}}+gt$ ${{v}_{y}}-{{u}_{y}}=gt$ $\Delta v=gt=10\times 0.5=5m/\sec$
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question related to the change in velocity of a particle projected from the ground. It also includes a detailed solution to the problem, leading to the answer of 5 m/s.
  
  Label: question-and-answer