Out of LineBy: Nick, Sam, Grant, Mike

What did we do?

This lab starts with the four of us lining up perfectly behind each other facing the CBR, which is positioned upright on the table. Once starting the calculator and CBR, the first person in the line stepped out of the path of the CBR(left or right). Five seconds later the next person does the same. All four group members repeat this same task. Once completed every one will be out of the line, and the calculator/CBR will be stopped.

Equation

Y=1.7int((0.5(x-0.5))+3.4048

Regressions Explanations

The C value of 3.4048 is the vertical shift and starting point of the graph. Distance from CBR.

The 1.7 coefficient value is for a stretch of the Y value by 1.7 units.

The (x-0.5) represents the shift to the left of .5 seconds. Time difference of when we hit the start button and began the movements.

Lastly, the 0.5 Y stretch brings the graph in line with the delay between our movements.

Expansion: Group #1

This experiment is nearly identical to ours, save one difference. The time intervals between the movement of people alternates between 4 and 2 seconds. Also, the starting distance of the first person is 5 ft from the sensor.

Expansion: Group #2

This experiment is merely a reversal of the original. A person was placed 32ft from the CBR and was eclipsed by a second person 3 seconds later who was eight feet closer to the sensor. And that person was covered

by a third 3 seconds later who was 16feet from the sensor, etc.

Expansion: Group #3

This final alternate reality included oneperson, rather than several. They started at a distance of 2.5ft from the sensor, backing up to 5ft over four seconds, waiting for four seconds, backing up to 10 feet over four seconds, etc, all without leaving the view of the sensor.

Group 4 found that the function representing their experiment was y= 1.5 int(0.6x) + 6Group 5 found their function to be y=1.2 int(x) + 3

Which group had longer time between jumps? How do you know?Group 4 because .6 is less than 1 group 5’s jump time, which makes group 4

have a longer jump time.

In which group were the students farther apart? How do you know?Group 4 because the value represents the distance between each jumper

and 1.5 is greater than 1.2.

Graph!!!!!!

What did we discover?

We discovered how a step function is made in real life. We also discovered how the transformations are used in a real life example.

Challenges

A few challenges we had during this experiment were that our group members did not jump away at exactly 4 seconds, which led to the graph not being correct. Another challenge we had was that we had some bumps in our ending step graph. If we were to do this differently, we would make sure we get a more clear graph by making sure we jump away at 4 seconds.