Ticker Tape

NG 1: Key Question
What is the relationship between position and time for a cart rolling down a ramp? What is the relationship between velocity and time for a cart rolling down a ramp? 

NG2:
Photo

·       Explanation of how you used the ticker timer to get the data for position and time

We placed a circle carbon paper that marked the placement of the car for every 0.1 second. As the car rolled down the ramp, there would be a black mark every tenth of a second as the dots spread out. After concluding this part, we measured with a ruler the distance (cm) between every sixth dots since the timer consisted of 60 Hertz. 

·       Data table for position and time, labeled with variable name and units

Time (seconds)	Position (cm)
0.1s	0.9cm
0.2s	4cm
0.3s	10.6cm
0.4s	20.5cm
0.5s	34cm
0.6s	51cm
0.7s	80.5cm

·       Explanation of how you use the ticker timer TAPE to create your v v t graph

 In order to make the v v t graph, we cut the tape for every 6th dot that was marked earlier. After ending up with seven shorter tapes, I glued them onto an x y graph, placing the tapes in order from 1-6th dot, 6-12th dot, 12-18th dot, etc./shortest to longest. This showed the constant acceleration of the object in a positive direction. 

NG 3 – Analysis

·       Position vs time graph, labeled axes, title, and trendline with equation

y=24.26x^2=1.85x+0.46

·       Verbal model for x vs t graph
As time increases, the position increases increasingly. 

·       Math model for x vs t graph (with units for the constant #)
x=(24.26cm/s^2)t^2

·       Verbal model for v vs t graph
As time increases, velocity increases proportionally. 

·       Math model for v vs t graph (with only variables, no #s)
v=(a)t+Vi

·       Slope of v vs t means…..
How many cm per second it increasedwas for every second called...??  Acceleration

·       Y-int of v vs t means…..
the starting velocity of the first interval
Velocity of the car increased constantly for every second

NG 4 – Models

·       Using Challenge 2 and your graphs as a guide, summarize the TWO new equations that were developed in this lab, and how we discovered them
x=1/2at^2 is inferred from the position time graph which represents x=1/2 of the slope or cm/s^2 of the velocity graph times the time squared. The velocity of the velocity graph is twice the position vs time graph's slope.

Vf=at+Vi is the equation to represent the final velocity. It is another way to write y=mx+b equation. (aka y=slope+y intercept) The slope can be written as cm/s^2 which is the change of y/change of x.

·       What does the area under the velocity graph represent?
The area under the velocity graph represents the amount of displacement.
good

NG 5 – Explaining

·       Did each have the same numbers for the constants and slopes?  Why or why not?
No, because it varied on the position of the ramp. While some had steep slopes from placing two boxes underneath causing their velocity to be more, others only placed one box under the ramp causing the velocity to be less. yes

·       Discuss any errors in your experiment and how you could correct them.
A simple error such as marking the wrong dot could potentially have thrown my graphs off. Luckily, I caught the mistake before making any further inferences. Next time I will pay more attention and compare my reports to each other to make sure I did not make any mistakes. 

·       Discuss another idea for something you would like to test regarding acceleration and how you could test it.

We could test the same experiments with different variables such as weight, direction, and time. It would be interesting to see what changes when you have a heavier car, or cause the car to go in a negative direction, or having to deal with a ticker timer that measures slower than 0.1 second.  good ideas!