Question

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.)

Answer 1

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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