Question

a student rolled a ball across four different surfaces.
what does this information tell you?
the ball traveled the farthest on the
the has the most friction.
how much farther did the ball roll on the smooth tile than the carpet? cm

Explanation:

Step1: Compare distances

Compare the distances \(30\) cm (carpet), \(150\) cm (smooth tile), \(60\) cm (cement sidewalk), \(95\) cm (plastic). The largest value is \(150\) cm, so the ball traveled farthest on smooth tile.

Step2: Relate friction and distance

Friction opposes motion. The shorter the distance, the more friction. Carpet has the shortest distance (\(30\) cm), so it has the most friction.

Step3: Calculate difference

Subtract the distance on carpet from the distance on smooth tile: \(150 - 30=120\) cm.

Answer:

The ball traveled the farthest on the smooth tile. The carpet has the most friction. The ball rolled \(120\) cm farther on the smooth tile than the carpet.