Final answer:
The speed of the driver around the circular track is calculated using the circumference and time taken for one lap, and the centripetal acceleration is determined using the speed squared divided by the radius.
Step-by-step explanation:
To find the driver’s speed around a circular track, we can use the formula for the circumference of a circle C = 2πr, where r is the radius. In this case, the radius is 20 meters, so the circumference C = 2π(20 m) = 40π meters. Given that the lady completes one lap in 105 seconds, the speed v = distance/time = C/105 s = (40π m)/105 s.
The centripetal acceleration ac can be found using the formula ac = v²/r. Once we have calculated v, we can square that value and divide it by the radius of the track, 20 meters, to find the centripetal acceleration.