. The following table gives the distance-time data of a curling rock that left a
curlers hand and is sliding forward.
Table 1.2: A curling dream shot
I'm sorry, but I cannot see the table you are referring to. However, I can still try to help you understand how distance and time data can be used to analyze the motion of a curling rock.
To analyze the motion of a curling rock using distance-time data, you need to have information about the distance the rock travels at different points in time. This allows you to determine how the rock's distance changes with respect to time, which gives you insights into its speed or velocity.
Typically, distance-time data is plotted on a graph with distance on the y-axis and time on the x-axis. Each point on the graph represents a specific moment in time and the corresponding distance traveled by the rock.
By examining the trend of the graph, you can determine important characteristics of the rock's motion. For example, if the distance-time graph forms a straight line, it suggests that the rock is moving at a constant speed. If the graph is a curve, it indicates that the rock's speed is changing over time.
Additionally, by calculating the slope of the distance-time graph, you can find the average velocity of the rock. The slope represents the change in distance divided by the change in time for a given interval. This calculation allows you to quantify the rock's speed and direction of motion.
So, to analyze the distance-time data of the curling rock's motion, you will need to study the table or plot the data points on a graph. From there, you can determine the rock's speed, acceleration, and other relevant information about its motion.