Lab 2_ Motion in 2D
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Temple University *
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1021
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
7
Uploaded by AgentFishMaster808
Lab 2: Motion in 2D
Group Members: Amir Crump, Joe Vlassakis
Goals:
The goal of this lab is to be able to determine the effects of constant acceleration on
velocity and position
Procedure:
The Lab started with launching the capstone program, with the camera on top. Then
we followed that by grabbing a meter stick and tennis ball and lining up everything with our
camera, we then proceeded to throw the ball and track it with the capstone program. We inputted
the data in capstone to make tables for both x and y position, acceleration and velocity.Then we
transferred that data to Excel to make 6 total scatter plot graphs.
Error and Precaution:
The potential for error is heightened because it is all dependent on where
the person with the meter stick stands and where the ball is thrown, for example, our numbers
were a little too high but we were told that is fine. The way this could be avoided is with a third
person potentially lining us up better so the plane where the ball was thrown was more narrow
and less movement would occur throughout the experiment.
Results:
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Questions:
Question 1. What is the time value when the ball in your video is at its maximum height?
3.420 seconds
Question 2. Is the time value when the ball in your video has zero y-velocity the same as the
time value for when it is at maximum height? Would you expect them to be the same?
Explain why or why not.
The value will be the same because the ball does not continue to go up
and will start to come down so from this we can assume that it will have 0 y-velocity
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Question 3. Which general kinematic equation is most like the fit equation for the x
position vs time? Which kinematic equation is most like the fit equation for the y position
vs time? For the x the equation is x= UxT + 1/2AxT^2 and for Y the equation is y= UyT +
1/2AyT^2
Question 4. For the y-velocity vs time graph, how do you find the y-acceleration from the
fit? What is the acceleration expected to be for such an object in free fall? We find on y
velocity vs time graph you find the acceleration from the slope we get. We expect it to be
g=9.8m/
Question 5. What is the x-acceleration according to your graph and fit of the x-velocity
data? What would we expect it to be in this scenario according to the assumption that we
have no forces in the x-direction?
y= 0.4827x -2.9106, we’d expect it to be y= .4827 without
the x direction force
Question 6. One source of error in this experiment is that we ignored the effect of drag. In
fact, the magnitude of the drag force is proportional to the speed of the ball. In light of this
fact, is it safe to assume the magnitude of the drag force on the ball is the same at all points
on its trajectory? Support your answer with your reasoning.
The drag changes due to the
position of the ball at each point we highlighted, the drag changes because the acceleration
changes in the upward and downward direction. The drag force would result in less acceleration
occurring.
Discussion:
For this experiment, we discovered that 3.420 seconds was where the ball was at the
highest point in the experiment. We also discovered the equation for the best-fit lines for the x
and the y and they were x= UxT + 1/2AxT^2 and y= UyT + 1/2AyT^2. This information allows
us to understand the range for which we should be in our experiment. The reason why our
numbers are not 0 is because of drag force.