AA Physics Addition of Vectors (Rectangular Components
nmdcat.online August 7, 2026

49. A vector has components (V_x=Vcostheta) and (V_y=Vsintheta). If its angle changes from 30° to 60° without changing its magnitude which statement is correct?

A. Both components remain unchanged
B. The x-component increases and the y-component decreases
C. The x-component decreases and the y-component increases
D. Both components become zero

📝 Explanation

As the angle increases from 30° to 60° the cosine decreases while the sine increases. Therefore the x-component decreases and the y-component increases.

📖 Additional Information

  • Both components remain unchanged
  • The x-component increases and the y-component decreases
  • The x-component decreases and the y-component increases
  • Both components become zero

As the angle increases from 30° to 60° the cosine decreases while the sine increases. Therefore the x-component decreases and the y-component increases.

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