Final answer:
The vertical component of the velocity is approximately 8.0 m/s.
Step-by-step explanation:
To find the vertical component of the velocity, we can use the formula:
Vertical velocity = Initial velocity * sin(angle)
Given that the initial velocity is 13.4 m/s and the angle is 37° above the horizontal, we can plug in the values:
Vertical velocity = 13.4 m/s * sin(37°)
Calculating this gives us a vertical velocity of approximately 8.0 m/s.