Final answer:
The cyclist's centripetal acceleration while turning a corner with a radius of 4550 cm at a speed of 10 m/s is approximately 0.22 m/s², which corresponds to option A.
Step-by-step explanation:
The cyclist's acceleration can be determined using the formula for centripetal acceleration (ac), which is ac = v2 / r, where v is the speed and r is the radius of the curve. The cyclist is turning a corner with a radius of 4550 cm (45.5 m) at a speed of 10 m/s. To find the cyclist's acceleration, we square the speed (10 m/s) and divide it by the radius (45.5 m).
ac = (10 m/s)2 / 45.5 m = 100 m2/s2 / 45.5 m = 2.20 m/s2
After calculation, the cyclist's acceleration is found to be approximately 0.22 m/s2, which corresponds to option A.