Final answer:
The cyclist's absolute velocity is 13.8 m/s.
Step-by-step explanation:
To find the cyclist's absolute velocity, we need to combine the velocity of the cyclist with respect to the wind and the velocity of the wind.
Given that the cyclist's velocity with respect to the wind is 16 m/s and the headwind has a velocity of 2.2 m/s, we can calculate the absolute velocity using vector addition.
The absolute velocity is the sum of the cyclist's velocity with respect to the wind and the velocity of the wind:
Absolute Velocity = Cyclist's velocity with respect to the wind + Velocity of the wind
Substituting the given values:
Absolute Velocity = 16 m/s + (-2.2 m/s) = 13.8 m/s
Therefore, the cyclist's absolute velocity is 13.8 m/s.
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