Build a table showing the character's position starting from 0.0 centimeters and pressing the button for 0.6 seconds. How would you calculate the unit rate for the character’s new motion? Create a graph showing the character's position in centimeters versus the time in seconds. You can draw it by hand or use a spreadsheet program if you know how to. Write an equation to describe how the character's position depends on time. Measure the width of your computer screen and predict how long it would take the character to move across the screen starting from the left edge. make it sound like a 7th grader
Time (s) | Position (cm)
0.0 | 0.0
0.1 | 0.06
0.2 | 0.12
0.3 | 0.18
0.4 | 0.24
0.5 | 0.30
0.6 | 0.36
To calculate the unit rate, we divide the change in position by the change in time. In this case, the change in position is 0.36 cm (final position) - 0.0 cm (initial position) = 0.36 cm. The change in time is 0.6 s (final time) - 0.0 s (initial time) = 0.6 s. Dividing the change in position by the change in time, we get the unit rate of motion which is:
0.36 cm / 0.6 s = 0.6 cm/s
To create the graph, you can use a spreadsheet program like Excel. Label the x-axis as Time (s) and the y-axis as Position (cm). Plot the pairs of time and position values as points on the graph. Connect the points with a line to show the character's motion.
The equation that describes how the character's position depends on time is a linear equation: Position (cm) = (0.6 cm/s) * Time (s) + 0.0 cm
To predict how long it would take the character to move across the screen starting from the left edge, you would need to measure the width of your computer screen. Let's say the width is 40 cm. By substituting this value into the equation, we can solve for time:
40 cm = (0.6 cm/s) * Time (s) + 0.0 cm
(0.6 cm/s) * Time (s) = 40 cm
Time (s) = 40 cm / 0.6 cm/s
Time (s) ≈ 66.7 seconds (rounding to one decimal place)
So, it would take the character approximately 66.7 seconds to move across the screen starting from the left edge.