The speedometer of a small pickup truck is designed to be accurate with tires of radius 14 inches.

a. find the number of rotations of a tire in 1 hour if the truck is driven at 55 mph.

b. suppose that oversize tires of radius 16 inches are placed on the truck. if the truck is now driven for 1 hour with the speedometer reading 55 mph, how far has the truck gone? if the speed limit is 55 mph, does the driver deserve a speeding ticket?