On an otherwise straight stretch of road near Moffat, Colorado, the road suddenly turns. This bend in the road is a segment of a circle with radius 110m. Drivers are cautioned to slow down to 40 mph as they navigate the curve.
a. If you heed the sign and slow to 40 mph, what will be your acceleration going around the curve at this constant speed? Give your answer in m/s2 and in units of g.
b. At what speed would your acceleration be double that at the recommended speed?