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A bullet is fired into the air with an initial velocity of 881 feet per second at an angle of 55° from the horizontal. Find the magnitudes of the horizontal and vertical vector components of the velocity vector V, namely Vx and Vy, respectively. (Round your answers to one decimal place.)

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Adioabiolaidn

The horizontal and vertical vector components of the velocity vector V, namely Vx and Vy are; 505.32 ft/s and 721.57 ft/s respectively

Horizontal and Vertical components of vectors

For ease of computation since vectors have magnitude and direction; they are resolved into horizontal and vertical components.

By convention, the horizontal, Vx and vertical components, Vy are as follows;

  • Vx = V cos π
  • Vy = V sin π

where π = angle of inclination to the horizontal.

Hence,

  • Vx = 881 × cos55° = 505.32 ft/s

  • Vy = 881 × sin55° = 721.57 ft/s

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