Final answer:
The vertical component of the initial velocity when Gabriel kicks a soccer ball with an initial velocity of 22 meters per second at an angle of 16 degrees to the ground is approximately 6.1 m/s.
Step-by-step explanation:
In the given question, Gabriel kicks a soccer ball with an initial velocity of 22 meters per second, at an angle of 16 degrees above the ground. The vertical component of the initial velocity is being sought. This component can be calculated using basic trigonometry, particularly sine function, since the vertical component is opposite to the angle given.
The calculation is as follows: Vertical velocity = initial velocity * sin(angle)
Substituting the given values,
Vertical velocity = 22 m/s * sin(16 degrees)
Doing this calculation, the vertical component comes out to be approximately 6.1 m/s (Option c).
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