Physics 17.1 - Graphing Motion of a wave Name _____________________ Date ____________ Period _____ KEY IDEAS: A distance-time graph is a good way to describe motion. On distance-time graphs, the slope is the change in the distance divided by the change in time. The slope of a line on a distance-time graph is speed. A straight line indicates constant speed. Acceleration is represented by a line with a changing slope. A steep slope on a distance-time graph indicates a high speed. A horizontal line = stopped. The data tables below represent a wave traveling at changing speeds. This activity is just measuring a very small portion of the wave trip (~20 seconds). Equation: v = distance(m) / time(s) Step 1: On the Constant High Speed Data Table, at distance Constant High Speed Wave Time (s) Distance (m) Speed (m/s) 100m and with the time being 4s, distance divided by time 0 0 0 (d/t) equals a speed of 25m/s. Look at the distance, time, 2 50 25 and speed values across each row. Notice the relationship 4 100 25 between distance and time and the speed at which the 8 200 25 wave travels. What is the speed of each of these values? All 12 300 25 of the relationships of distance and time equal a speed of 16 400 25 25m/s. Constant Low Speed Wave Step 2: As you did in Step 1, notice the relationship of Time (s) Distance (m) Speed (m/s) 0 0 0 4 50 12.5 8 100 12.5 12 150 12.5 16 200 12.5 20 250 12.5 Physics 17.1 graphing motion of a wave 5.2014 distance and time as it relates to the speed of the wave going at a constant low speed. Notice the small slope of the line, when graphed. A constant slope indicates a constant speed, when graphed. Turn page Step 3: Create a distance-time graph. Use the grid provided below to create one graph representing Constant High Speed Wave Distance Speed Time (s) (m) (m/s) 0 0 0 both the constant high and constant low speeds of the wave. When you plot 2 50 25 the graph, be sure you have done the following: 4 100 25 8 200 25 12 300 25 16 400 25 Label the x-axis (time-s) and y-axis (distance-m). Don’t forget to include their units! Spread the data out proportionately across the majority of the graph. Include a title. A good title includes the words from the x and y axis. Constant Low Speed Wave Distance Speed Time (s) (m) (m/s) 0 0 0 Include a key (dots, dashes can distinguish lines) 4 50 12.5 Use a straight line to connect points representing a wave with a 8 100 12.5 12 150 12.5 16 200 12.5 20 250 12.5 constant speed. Label constant low speed, constant high speed. Draw and label a curved line moving up to the right to indicate an accelerating wave (increasing in speed with time). Title: Key: