After a rowdy party, a group of intoxicated youth stumbles into the county fairground. One of these youngsters, Peter, climbs to the middle of a spin-around carousel, and his friends push the carousel so that it rotates once every ten seconds. Peter, who is trying not to get sick, holds a flashlight motionless in his hand.
There is a road running by the edge of the fairground that, at its closest point, is 30 yards from the middle of the carousel. Unknown to Peter, there are two security offices watching him from the road, amused at the spectacle and Peter's increasingly colorless complexion. One of them is standing on the road at the point closest to the carousel, while the other is standing 45 yards down the road. At approximately what speed (in yards per second) does the spot illuminated by the flashlight traverse each of the security officers' bodies?
State speed at the closest officer first.