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

Answer 1

To build the table, we will assume a constant velocity of the character when the button is pressed for 0.6 seconds.

Time (s) | Position (cm)
------------ | -------------
0.0 | 0.0
0.6 | X

To calculate the unit rate for the character's new motion, we need to determine the change in position per unit of time.

Unit rate = Change in position / Change in time

Since the character starts from 0.0 cm and moves to an unknown position (denoted as X) in 0.6 seconds, the change in position is X - 0.0 = X cm and the change in time is 0.6 - 0.0 = 0.6 seconds.

Unit rate = (X - 0.0) cm / (0.6 - 0.0) s = X cm/s

To create a graph showing the character's position in centimeters versus time in seconds, follow these steps:

1. Label the x-axis as "Time (s)" and the y-axis as "Position (cm)."
2. Plot the points (0.0, 0.0) and (0.6, X) on the graph.
3. Draw a straight line connecting these two points.

The equation to describe how the character's position depends on time can be found using the slope-intercept form of a linear equation:

y = mx + b

In this case, y represents the position (cm) and x represents the time (s). The slope (m) is the unit rate we calculated earlier, which is X cm/s. The intercept (b) represents the starting position, which is 0.0 cm.

Therefore, the equation can be written as:

Position (cm) = X (cm/s) * Time (s) + 0.0

Since the width of computer screens can vary, we cannot provide an accurate prediction of how long it would take for the character to move across the screen starting from the left edge without knowing the screen width in centimeters.