# Crap

Topics: Angle, Gummi bear, Pythagorean theorem Pages: 6 (702 words) Published: October 22, 2014
Introduction
The gummy bear project was to provide us with a chance to practice the statistics experimental design, through measuring how far the gummy bears fly from a catapult in centimeters. This catapult contains 3 different stages from which to launch gummy bears at different angles: front, middle, and back, as well as two different positions upon the catapult at either the front or back. Then, based upon each configuration, we launched the gummy bears 5 times, for a total of 2x3x5, 30 treatments.

Controls
For this, there were multiple controls that required attention. The first was marking at what the pencil was at between the two popsicle sticks in order to maintain constant elasticity in the popsicle sticks. As well, we would always place the entire catapult contraption at the start of a tile and measure from that tile in order to maintain a constant starting point and environment in which the gummy bears were launched. As well, in order to maintain the integrity of the experiment, we only used the same brand gummy bears from the Haribo Company. We consistently marked the point where we launched from on the catapult for all of the back position launches. Finally, we made sure that the popsicle sticks and the angled catapult were stable before each release in order to negate any possible impulse forces from an unstable launch pad.

Randomization Process
First we collected our 30 gummy bears for all the treatments in the entire experiment, then we numbered them off 0-29. Next we generated randomly 0-29 non-repeating in order to get an order for launching gummy bears. From there we had our order for launch and continued to the experimental stage where we did all the front launches with all 3 of the angles, then all of the back launches with all 3 of the angles.

Raw Data
Angle:
1 Denotes notch closest to fulcrum, while 2 is further away and 3 being even further away. Position:
Front denotes closest to fulcrum, while back is the point furthest away.
Angle
Position
Distance(cm)
Angle
Position
Distance(cm)
1
Front
323
1
Back
121
1
Front
245.5
1
Back
131
1
Front
285
1
Back
203
1
Front
375
1
Back
240
1
Front
358.5
1
Back
273
2
Front
346.5
2
Back
166
2
Front
348.5
2
Back
236
2
Front
358.5
2
Back
304
2
Front
386
2
Back
307
2
Front
391
2
Back
352
3
Front
272.5
3
Back
212
3
Front
323
3
Back
213.5
3
Front
324
3
Back
214
3
Front
331.5
3
Back
214
3
Front
331
3
Back
215


Summary Statistics

*

Minimum Value
121
Maximum Value
391
Mean
280.03
Median
294.5
Number of Values
30
Standard Deviation
74.082
Coefficient of Variance
0.264546824618


Graphical Displays
*

Interpretation of Results
We can notice the back position launches didn’t travel nearly as far as the front position launches. As well, angle 2 seemed to have on average the furthest launches due to its optimum launch to provide the most equal amounts of horizontal and vertical force at the beginning to supply the greatest velocity for traveling far and higher. Angle 3 and Angle 1 were close to equal which means one didn’t launch high enough for its horizontal velocity and the inverse for the other angle. Therefore, if you were to launch gummy bears for distance, Angle 2 at the front would be the optimal position in order to reach the furthest distance.

What Did Go Wrong?
We didn’t account for any deviations to the left or right by the gummy bears. We only measured how far it was based on one axis, not using Pythagorean Theorem due to the limited time we had. This therefore discredits any distance traveled left and right instead of away from the catapult.

What Would You Do Differently?
We would find a way to...