Final answer:
The horizontal component of the bee's velocity is approximately 21.83 ft/s, and the vertical component is approximately 2.30 ft/s. These values are calculated using the cosine and sine trigonometric functions with the given velocity and angle.
Step-by-step explanation:
To determine the vertical and horizontal components of the velocity of an object moving with a given velocity and angle, we can use trigonometric functions. The velocity given is 22 ft per second at an angle of 6 degrees above horizontal. The horizontal component, Vx, is found using the cosine function:
Vx = V * cos(θ)
And the vertical component, Vy, is found using the sine function:
Vy = V * sin(θ)
Substituting into these equations:
- Vx = 22 * cos(6°)
- Vy = 22 * sin(6°)
After calculating, we get:
- Vx ≈ 21.83 ft/s
- Vy ≈ 2.30 ft/s
These values represent the components of the initial velocity in the horizontal and vertical directions, respectively.