The cyclist's final velocity is 10 m/s.
From the question,
We are to determine the cyclist's final velocity.
<h3>Linear motion</h3>
From one of the equations of motion for linear motion, we have
![v=u+at](https://tex.z-dn.net/?f=v%3Du%2Bat)
Where
v is the final velocity
u is the initial velocity
a is the acceleration
and t is the time
From the given information,
The cyclist starts at rest, this means the initial velocity is 0 m/s
That is,
u = 0 m/s
Also
a = 0.5 m/s²
and t = 20 s
Putting the parameters into the equation, we get
![v = 0 + 0.5 \times 20](https://tex.z-dn.net/?f=v%20%3D%200%20%2B%200.5%20%5Ctimes%2020)
![v = 0 + 10](https://tex.z-dn.net/?f=v%20%3D%200%20%2B%2010)
![v = 10 \ m/s](https://tex.z-dn.net/?f=v%20%3D%2010%20%5C%20m%2Fs)
Hence, the cyclist's final velocity is 10 m/s.
Learn more on linear motion here: brainly.com/question/19365526