To calculate the speed of the ball, we use the formula for speed, which is:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
In this particular question, the ball rolls across a smooth surface for a distance of 49 centimeters in 7 seconds. Here is how you'd calculate its speed step-by-step:
1. Identify the distance the ball travels, which is given as 49 centimeters.
2. Identify the time taken for the ball to travel that distance, which is given as 7 seconds.
3. Use the speed formula to calculate the speed of the ball:
\[ \text{Speed} = \frac{49 \text{ cm}}{7 \text{ s}} \]
4. Divide the distance by the time to find the speed:
\[ \text{Speed} = 7 \text{ cm/s} \]
5. Therefore, the speed of the ball is 7 centimeters per second.