Answer: a) 0.2 m/s²
Explanation:
The relationship between initial velocity (v₀), acceleration (a), time (t), and final velocity (v) is given by the kinematic equation:
v = v₀ + at
In this case, the cyclist starts from rest since the problem states "after the start of movement" (v₀ = 0), and after 10 seconds (t = 10), the velocity is 2 m/s (v = 2).
Plugging these values into the equation above:
v = v₀ + at
2 = 0 + a·10
Solving for a, we get:
2 = 10a
a = 2/10
a = 0.2
The cyclist's acceleration is 0.2 m/s².
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