The cyclist's final velocity is 10 m/s.
From the question,
We are to determine the cyclist's final velocity.
From one of the equations of motion for linear motion, we have
[tex]v=u+at[/tex]
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
[tex]v = 0 + 0.5 \times 20[/tex]
[tex]v = 0 + 10[/tex]
[tex]v = 10 \ m/s[/tex]
Hence, the cyclist's final velocity is 10 m/s.
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