Answer
When the tires are rolling, the point of contact with the road is at rest. There is no relative motion between the tires and the road at that point of time and thus static friction force will act on the tire when the tire is rolling.
When the car is slipping, the tires are moving with respect to the road and thus kinetic friction force will act on the tires.
Maximum static friction force is more than the kinetic friction force. Thus, larger force will act on the car when the tires are rolling. So, the stopping distance is less when the tires are rolling than when they are slipping.
Work Step by Step
When the tires are rolling, the point of contact with the road is at rest. There is no relative motion between the tires and the road at that point of time and thus static friction force will act on the tire when the tire is rolling.
When the car is slipping, the tires are moving with respect to the road and thus kinetic friction force will act on the tires.
Maximum static friction force is more than the kinetic friction force. Thus, larger force will act on the car when the tires are rolling. So, the stopping distance is less when the tires are rolling than when they are slipping.
